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Finding the Third Proportional to 266,749 and 474,287

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Solution

The third proportional to 266,749 and 474,287 is: 843,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,749 : 474,287 = 474,287 : x
  2. Step 2: Convert to fraction form
    266,749/474,287 = 474,287/x
  3. Step 3: Cross multiply
    266,749x = 474,287 × 474,287
  4. Step 4: Simplify right side
    266,749x = 224,948,158,369
  5. Step 5: Solve for x
    x = 224,948,158,369/266,749
  6. Step 6: Final answer
    x = 843,295.23

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.