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Finding the Third Proportional to 130,321.13 and 285,552

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Solution

The third proportional to 130,321.13 and 285,552 is: 625,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,321.13 : 285,552 = 285,552 : x
  2. Step 2: Convert to fraction form
    130,321.13/285,552 = 285,552/x
  3. Step 3: Cross multiply
    130,321.13x = 285,552 × 285,552
  4. Step 4: Simplify right side
    130,321.13x = 81,539,944,704
  5. Step 5: Solve for x
    x = 81,539,944,704/130,321.13
  6. Step 6: Final answer
    x = 625,684.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.