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Finding the Third Proportional to 128,076.56 and 278,301.56

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Solution

The third proportional to 128,076.56 and 278,301.56 is: 604,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,076.56 : 278,301.56 = 278,301.56 : x
  2. Step 2: Convert to fraction form
    128,076.56/278,301.56 = 278,301.56/x
  3. Step 3: Cross multiply
    128,076.56x = 278,301.56 × 278,301.56
  4. Step 4: Simplify right side
    128,076.56x = 77,451,759,689.94
  5. Step 5: Solve for x
    x = 77,451,759,689.94/128,076.56
  6. Step 6: Final answer
    x = 604,730.16

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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.