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Finding the Third Proportional to 30,936,816 and 68,051,360.25

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Solution

The third proportional to 30,936,816 and 68,051,360.25 is: 149,691,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936,816 : 68,051,360.25 = 68,051,360.25 : x
  2. Step 2: Convert to fraction form
    30,936,816/68,051,360.25 = 68,051,360.25/x
  3. Step 3: Cross multiply
    30,936,816x = 68,051,360.25 × 68,051,360.25
  4. Step 4: Simplify right side
    30,936,816x = 4,630,987,631,875,280
  5. Step 5: Solve for x
    x = 4,630,987,631,875,280/30,936,816
  6. Step 6: Final answer
    x = 149,691,798.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.