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Finding the Third Proportional to 128,525 and 278,920

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Solution

The third proportional to 128,525 and 278,920 is: 605,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,525 : 278,920 = 278,920 : x
  2. Step 2: Convert to fraction form
    128,525/278,920 = 278,920/x
  3. Step 3: Cross multiply
    128,525x = 278,920 × 278,920
  4. Step 4: Simplify right side
    128,525x = 77,796,366,400
  5. Step 5: Solve for x
    x = 77,796,366,400/128,525
  6. Step 6: Final answer
    x = 605,301.43

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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.