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Finding the Third Proportional to 133,883 and 278,853

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Solution

The third proportional to 133,883 and 278,853 is: 580,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,883 : 278,853 = 278,853 : x
  2. Step 2: Convert to fraction form
    133,883/278,853 = 278,853/x
  3. Step 3: Cross multiply
    133,883x = 278,853 × 278,853
  4. Step 4: Simplify right side
    133,883x = 77,758,995,609
  5. Step 5: Solve for x
    x = 77,758,995,609/133,883
  6. Step 6: Final answer
    x = 580,798.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.