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Finding the Third Proportional to 129,391.50 and 281,564.25

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Solution

The third proportional to 129,391.50 and 281,564.25 is: 612,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,391.50 : 281,564.25 = 281,564.25 : x
  2. Step 2: Convert to fraction form
    129,391.50/281,564.25 = 281,564.25/x
  3. Step 3: Cross multiply
    129,391.50x = 281,564.25 × 281,564.25
  4. Step 4: Simplify right side
    129,391.50x = 79,278,426,878.06
  5. Step 5: Solve for x
    x = 79,278,426,878.06/129,391.50
  6. Step 6: Final answer
    x = 612,701.97

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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.