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Finding the Third Proportional to 129,124.13 and 196,419.94

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Solution

The third proportional to 129,124.13 and 196,419.94 is: 298,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,124.13 : 196,419.94 = 196,419.94 : x
  2. Step 2: Convert to fraction form
    129,124.13/196,419.94 = 196,419.94/x
  3. Step 3: Cross multiply
    129,124.13x = 196,419.94 × 196,419.94
  4. Step 4: Simplify right side
    129,124.13x = 38,580,791,847.50
  5. Step 5: Solve for x
    x = 38,580,791,847.50/129,124.13
  6. Step 6: Final answer
    x = 298,788.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.