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Finding the Third Proportional to 129,392.33 and 282,773.21

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Solution

The third proportional to 129,392.33 and 282,773.21 is: 617,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,392.33 : 282,773.21 = 282,773.21 : x
  2. Step 2: Convert to fraction form
    129,392.33/282,773.21 = 282,773.21/x
  3. Step 3: Cross multiply
    129,392.33x = 282,773.21 × 282,773.21
  4. Step 4: Simplify right side
    129,392.33x = 79,960,691,033.07
  5. Step 5: Solve for x
    x = 79,960,691,033.07/129,392.33
  6. Step 6: Final answer
    x = 617,970.86

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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.