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Finding the Third Proportional to 127,873.50 and 278,643

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Solution

The third proportional to 127,873.50 and 278,643 is: 607,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,873.50 : 278,643 = 278,643 : x
  2. Step 2: Convert to fraction form
    127,873.50/278,643 = 278,643/x
  3. Step 3: Cross multiply
    127,873.50x = 278,643 × 278,643
  4. Step 4: Simplify right side
    127,873.50x = 77,641,921,449
  5. Step 5: Solve for x
    x = 77,641,921,449/127,873.50
  6. Step 6: Final answer
    x = 607,177.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.