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Finding the Third Proportional to 120,639,980.25 and 260,411,820.75

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Solution

The third proportional to 120,639,980.25 and 260,411,820.75 is: 562,121,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,639,980.25 : 260,411,820.75 = 260,411,820.75 : x
  2. Step 2: Convert to fraction form
    120,639,980.25/260,411,820.75 = 260,411,820.75/x
  3. Step 3: Cross multiply
    120,639,980.25x = 260,411,820.75 × 260,411,820.75
  4. Step 4: Simplify right side
    120,639,980.25x = 67,814,316,386,330,128
  5. Step 5: Solve for x
    x = 67,814,316,386,330,128/120,639,980.25
  6. Step 6: Final answer
    x = 562,121,414.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.