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Finding the Third Proportional to 128,218.78 and 279,013.78

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Solution

The third proportional to 128,218.78 and 279,013.78 is: 607,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,218.78 : 279,013.78 = 279,013.78 : x
  2. Step 2: Convert to fraction form
    128,218.78/279,013.78 = 279,013.78/x
  3. Step 3: Cross multiply
    128,218.78x = 279,013.78 × 279,013.78
  4. Step 4: Simplify right side
    128,218.78x = 77,848,690,127.42
  5. Step 5: Solve for x
    x = 77,848,690,127.42/128,218.78
  6. Step 6: Final answer
    x = 607,155.12

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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.