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Finding the Third Proportional to 129,277.13 and 180,820.13

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Solution

The third proportional to 129,277.13 and 180,820.13 is: 252,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,277.13 : 180,820.13 = 180,820.13 : x
  2. Step 2: Convert to fraction form
    129,277.13/180,820.13 = 180,820.13/x
  3. Step 3: Cross multiply
    129,277.13x = 180,820.13 × 180,820.13
  4. Step 4: Simplify right side
    129,277.13x = 32,695,917,605.02
  5. Step 5: Solve for x
    x = 32,695,917,605.02/129,277.13
  6. Step 6: Final answer
    x = 252,913.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.