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Finding the Third Proportional to 127,563 and 278,442

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Solution

The third proportional to 127,563 and 278,442 is: 607,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,563 : 278,442 = 278,442 : x
  2. Step 2: Convert to fraction form
    127,563/278,442 = 278,442/x
  3. Step 3: Cross multiply
    127,563x = 278,442 × 278,442
  4. Step 4: Simplify right side
    127,563x = 77,529,947,364
  5. Step 5: Solve for x
    x = 77,529,947,364/127,563
  6. Step 6: Final answer
    x = 607,777.70

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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.