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Finding the Third Proportional to 120,811.50 and 272,953.13

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Solution

The third proportional to 120,811.50 and 272,953.13 is: 616,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,811.50 : 272,953.13 = 272,953.13 : x
  2. Step 2: Convert to fraction form
    120,811.50/272,953.13 = 272,953.13/x
  3. Step 3: Cross multiply
    120,811.50x = 272,953.13 × 272,953.13
  4. Step 4: Simplify right side
    120,811.50x = 74,503,408,447.27
  5. Step 5: Solve for x
    x = 74,503,408,447.27/120,811.50
  6. Step 6: Final answer
    x = 616,691.36

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.