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Finding the Third Proportional to 120,783,441,464.50 and 262,772,850,095

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Solution

The third proportional to 120,783,441,464.50 and 262,772,850,095 is: 571,680,769,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783,441,464.50 : 262,772,850,095 = 262,772,850,095 : x
  2. Step 2: Convert to fraction form
    120,783,441,464.50/262,772,850,095 = 262,772,850,095/x
  3. Step 3: Cross multiply
    120,783,441,464.50x = 262,772,850,095 × 262,772,850,095
  4. Step 4: Simplify right side
    120,783,441,464.50x = 69,049,570,747,049,343,713,280
  5. Step 5: Solve for x
    x = 69,049,570,747,049,343,713,280/120,783,441,464.50
  6. Step 6: Final answer
    x = 571,680,769,398.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.