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Finding the Third Proportional to 68,528,142 and 149,613,909

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Solution

The third proportional to 68,528,142 and 149,613,909 is: 326,644,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,528,142 : 149,613,909 = 149,613,909 : x
  2. Step 2: Convert to fraction form
    68,528,142/149,613,909 = 149,613,909/x
  3. Step 3: Cross multiply
    68,528,142x = 149,613,909 × 149,613,909
  4. Step 4: Simplify right side
    68,528,142x = 22,384,321,766,260,280
  5. Step 5: Solve for x
    x = 22,384,321,766,260,280/68,528,142
  6. Step 6: Final answer
    x = 326,644,224.01

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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.