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Finding the Third Proportional to 415,993 and 642,330

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Solution

The third proportional to 415,993 and 642,330 is: 991,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,993 : 642,330 = 642,330 : x
  2. Step 2: Convert to fraction form
    415,993/642,330 = 642,330/x
  3. Step 3: Cross multiply
    415,993x = 642,330 × 642,330
  4. Step 4: Simplify right side
    415,993x = 412,587,828,900
  5. Step 5: Solve for x
    x = 412,587,828,900/415,993
  6. Step 6: Final answer
    x = 991,814.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.