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Finding the Third Proportional to 215,875.13 and 285,540.19

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Solution

The third proportional to 215,875.13 and 285,540.19 is: 377,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,875.13 : 285,540.19 = 285,540.19 : x
  2. Step 2: Convert to fraction form
    215,875.13/285,540.19 = 285,540.19/x
  3. Step 3: Cross multiply
    215,875.13x = 285,540.19 × 285,540.19
  4. Step 4: Simplify right side
    215,875.13x = 81,533,198,677.54
  5. Step 5: Solve for x
    x = 81,533,198,677.54/215,875.13
  6. Step 6: Final answer
    x = 377,686.86

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.