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Finding the Third Proportional to 128,448 and 278,972

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Solution

The third proportional to 128,448 and 278,972 is: 605,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,448 : 278,972 = 278,972 : x
  2. Step 2: Convert to fraction form
    128,448/278,972 = 278,972/x
  3. Step 3: Cross multiply
    128,448x = 278,972 × 278,972
  4. Step 4: Simplify right side
    128,448x = 77,825,376,784
  5. Step 5: Solve for x
    x = 77,825,376,784/128,448
  6. Step 6: Final answer
    x = 605,890.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.