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Finding the Third Proportional to 266,142 and 359,712

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Solution

The third proportional to 266,142 and 359,712 is: 486,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,142 : 359,712 = 359,712 : x
  2. Step 2: Convert to fraction form
    266,142/359,712 = 359,712/x
  3. Step 3: Cross multiply
    266,142x = 359,712 × 359,712
  4. Step 4: Simplify right side
    266,142x = 129,392,722,944
  5. Step 5: Solve for x
    x = 129,392,722,944/266,142
  6. Step 6: Final answer
    x = 486,179.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.