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Finding the Third Proportional to 239,909 and 358,542

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Solution

The third proportional to 239,909 and 358,542 is: 535,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,909 : 358,542 = 358,542 : x
  2. Step 2: Convert to fraction form
    239,909/358,542 = 358,542/x
  3. Step 3: Cross multiply
    239,909x = 358,542 × 358,542
  4. Step 4: Simplify right side
    239,909x = 128,552,365,764
  5. Step 5: Solve for x
    x = 128,552,365,764/239,909
  6. Step 6: Final answer
    x = 535,838.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.