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Finding the Third Proportional to 128,220.38 and 279,016.13

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Solution

The third proportional to 128,220.38 and 279,016.13 is: 607,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,220.38 : 279,016.13 = 279,016.13 : x
  2. Step 2: Convert to fraction form
    128,220.38/279,016.13 = 279,016.13/x
  3. Step 3: Cross multiply
    128,220.38x = 279,016.13 × 279,016.13
  4. Step 4: Simplify right side
    128,220.38x = 77,849,998,010.02
  5. Step 5: Solve for x
    x = 77,849,998,010.02/128,220.38
  6. Step 6: Final answer
    x = 607,157.78

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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.