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Finding the Third Proportional to 140,613 and 303,681

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Solution

The third proportional to 140,613 and 303,681 is: 655,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,613 : 303,681 = 303,681 : x
  2. Step 2: Convert to fraction form
    140,613/303,681 = 303,681/x
  3. Step 3: Cross multiply
    140,613x = 303,681 × 303,681
  4. Step 4: Simplify right side
    140,613x = 92,222,149,761
  5. Step 5: Solve for x
    x = 92,222,149,761/140,613
  6. Step 6: Final answer
    x = 655,857.92

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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.