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Finding the Third Proportional to 339,206 and 527,487

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Solution

The third proportional to 339,206 and 527,487 is: 820,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,206 : 527,487 = 527,487 : x
  2. Step 2: Convert to fraction form
    339,206/527,487 = 527,487/x
  3. Step 3: Cross multiply
    339,206x = 527,487 × 527,487
  4. Step 4: Simplify right side
    339,206x = 278,242,535,169
  5. Step 5: Solve for x
    x = 278,242,535,169/339,206
  6. Step 6: Final answer
    x = 820,275.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.