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Finding the Third Proportional to 129,043.13 and 282,872.25

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Solution

The third proportional to 129,043.13 and 282,872.25 is: 620,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,043.13 : 282,872.25 = 282,872.25 : x
  2. Step 2: Convert to fraction form
    129,043.13/282,872.25 = 282,872.25/x
  3. Step 3: Cross multiply
    129,043.13x = 282,872.25 × 282,872.25
  4. Step 4: Simplify right side
    129,043.13x = 80,016,709,820.06
  5. Step 5: Solve for x
    x = 80,016,709,820.06/129,043.13
  6. Step 6: Final answer
    x = 620,077.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.