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Finding the Third Proportional to 266,985 and 413,257.50

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Solution

The third proportional to 266,985 and 413,257.50 is: 639,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,985 : 413,257.50 = 413,257.50 : x
  2. Step 2: Convert to fraction form
    266,985/413,257.50 = 413,257.50/x
  3. Step 3: Cross multiply
    266,985x = 413,257.50 × 413,257.50
  4. Step 4: Simplify right side
    266,985x = 170,781,761,306.25
  5. Step 5: Solve for x
    x = 170,781,761,306.25/266,985
  6. Step 6: Final answer
    x = 639,668.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.