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Finding the Third Proportional to 129,475.97 and 282,473.58

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Solution

The third proportional to 129,475.97 and 282,473.58 is: 616,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,475.97 : 282,473.58 = 282,473.58 : x
  2. Step 2: Convert to fraction form
    129,475.97/282,473.58 = 282,473.58/x
  3. Step 3: Cross multiply
    129,475.97x = 282,473.58 × 282,473.58
  4. Step 4: Simplify right side
    129,475.97x = 79,791,322,338.74
  5. Step 5: Solve for x
    x = 79,791,322,338.74/129,475.97
  6. Step 6: Final answer
    x = 616,263.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.