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Finding the Third Proportional to 138,799.13 and 301,381.31

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Solution

The third proportional to 138,799.13 and 301,381.31 is: 654,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,799.13 : 301,381.31 = 301,381.31 : x
  2. Step 2: Convert to fraction form
    138,799.13/301,381.31 = 301,381.31/x
  3. Step 3: Cross multiply
    138,799.13x = 301,381.31 × 301,381.31
  4. Step 4: Simplify right side
    138,799.13x = 90,830,695,524.22
  5. Step 5: Solve for x
    x = 90,830,695,524.22/138,799.13
  6. Step 6: Final answer
    x = 654,403.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.