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Finding the Third Proportional to 133,725.50 and 278,659

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Solution

The third proportional to 133,725.50 and 278,659 is: 580,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,725.50 : 278,659 = 278,659 : x
  2. Step 2: Convert to fraction form
    133,725.50/278,659 = 278,659/x
  3. Step 3: Cross multiply
    133,725.50x = 278,659 × 278,659
  4. Step 4: Simplify right side
    133,725.50x = 77,650,838,281
  5. Step 5: Solve for x
    x = 77,650,838,281/133,725.50
  6. Step 6: Final answer
    x = 580,673.38

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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.