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Finding the Third Proportional to 128,618.44 and 282,691.13

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Solution

The third proportional to 128,618.44 and 282,691.13 is: 621,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,618.44 : 282,691.13 = 282,691.13 : x
  2. Step 2: Convert to fraction form
    128,618.44/282,691.13 = 282,691.13/x
  3. Step 3: Cross multiply
    128,618.44x = 282,691.13 × 282,691.13
  4. Step 4: Simplify right side
    128,618.44x = 79,914,272,153.77
  5. Step 5: Solve for x
    x = 79,914,272,153.77/128,618.44
  6. Step 6: Final answer
    x = 621,328.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.