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Finding the Third Proportional to 128,565.56 and 276,812.44

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Solution

The third proportional to 128,565.56 and 276,812.44 is: 596,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,565.56 : 276,812.44 = 276,812.44 : x
  2. Step 2: Convert to fraction form
    128,565.56/276,812.44 = 276,812.44/x
  3. Step 3: Cross multiply
    128,565.56x = 276,812.44 × 276,812.44
  4. Step 4: Simplify right side
    128,565.56x = 76,625,125,554.69
  5. Step 5: Solve for x
    x = 76,625,125,554.69/128,565.56
  6. Step 6: Final answer
    x = 596,000.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.