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Finding the Third Proportional to 120,088.13 and 258,732.56

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Solution

The third proportional to 120,088.13 and 258,732.56 is: 557,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,088.13 : 258,732.56 = 258,732.56 : x
  2. Step 2: Convert to fraction form
    120,088.13/258,732.56 = 258,732.56/x
  3. Step 3: Cross multiply
    120,088.13x = 258,732.56 × 258,732.56
  4. Step 4: Simplify right side
    120,088.13x = 66,942,538,897.82
  5. Step 5: Solve for x
    x = 66,942,538,897.82/120,088.13
  6. Step 6: Final answer
    x = 557,445.12

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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.