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Finding the Third Proportional to 266,769 and 411,246

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Solution

The third proportional to 266,769 and 411,246 is: 633,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,769 : 411,246 = 411,246 : x
  2. Step 2: Convert to fraction form
    266,769/411,246 = 411,246/x
  3. Step 3: Cross multiply
    266,769x = 411,246 × 411,246
  4. Step 4: Simplify right side
    266,769x = 169,123,272,516
  5. Step 5: Solve for x
    x = 169,123,272,516/266,769
  6. Step 6: Final answer
    x = 633,968.99

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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.