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Finding the Third Proportional to 133,681.50 and 278,385.75

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Solution

The third proportional to 133,681.50 and 278,385.75 is: 579,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,681.50 : 278,385.75 = 278,385.75 : x
  2. Step 2: Convert to fraction form
    133,681.50/278,385.75 = 278,385.75/x
  3. Step 3: Cross multiply
    133,681.50x = 278,385.75 × 278,385.75
  4. Step 4: Simplify right side
    133,681.50x = 77,498,625,803.06
  5. Step 5: Solve for x
    x = 77,498,625,803.06/133,681.50
  6. Step 6: Final answer
    x = 579,725.88

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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.