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Finding the Third Proportional to 243,132.05 and 390,646.97

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Solution

The third proportional to 243,132.05 and 390,646.97 is: 627,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,132.05 : 390,646.97 = 390,646.97 : x
  2. Step 2: Convert to fraction form
    243,132.05/390,646.97 = 390,646.97/x
  3. Step 3: Cross multiply
    243,132.05x = 390,646.97 × 390,646.97
  4. Step 4: Simplify right side
    243,132.05x = 152,605,054,193.56
  5. Step 5: Solve for x
    x = 152,605,054,193.56/243,132.05
  6. Step 6: Final answer
    x = 627,663.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.