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Finding the Third Proportional to 127,589 and 278,488

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Solution

The third proportional to 127,589 and 278,488 is: 607,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,589 : 278,488 = 278,488 : x
  2. Step 2: Convert to fraction form
    127,589/278,488 = 278,488/x
  3. Step 3: Cross multiply
    127,589x = 278,488 × 278,488
  4. Step 4: Simplify right side
    127,589x = 77,555,566,144
  5. Step 5: Solve for x
    x = 77,555,566,144/127,589
  6. Step 6: Final answer
    x = 607,854.64

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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.