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Finding the Third Proportional to 128,800.13 and 276,645.38

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Solution

The third proportional to 128,800.13 and 276,645.38 is: 594,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,800.13 : 276,645.38 = 276,645.38 : x
  2. Step 2: Convert to fraction form
    128,800.13/276,645.38 = 276,645.38/x
  3. Step 3: Cross multiply
    128,800.13x = 276,645.38 × 276,645.38
  4. Step 4: Simplify right side
    128,800.13x = 76,532,663,508.89
  5. Step 5: Solve for x
    x = 76,532,663,508.89/128,800.13
  6. Step 6: Final answer
    x = 594,197.12

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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.