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Finding the Third Proportional to 133,853 and 278,797

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Solution

The third proportional to 133,853 and 278,797 is: 580,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,853 : 278,797 = 278,797 : x
  2. Step 2: Convert to fraction form
    133,853/278,797 = 278,797/x
  3. Step 3: Cross multiply
    133,853x = 278,797 × 278,797
  4. Step 4: Simplify right side
    133,853x = 77,727,767,209
  5. Step 5: Solve for x
    x = 77,727,767,209/133,853
  6. Step 6: Final answer
    x = 580,695.00

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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.