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Finding the Third Proportional to 200,506 and 413,732

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Solution

The third proportional to 200,506 and 413,732 is: 853,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,506 : 413,732 = 413,732 : x
  2. Step 2: Convert to fraction form
    200,506/413,732 = 413,732/x
  3. Step 3: Cross multiply
    200,506x = 413,732 × 413,732
  4. Step 4: Simplify right side
    200,506x = 171,174,167,824
  5. Step 5: Solve for x
    x = 171,174,167,824/200,506
  6. Step 6: Final answer
    x = 853,710.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.