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Finding the Third Proportional to 129,321.56 and 282,700.13

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Solution

The third proportional to 129,321.56 and 282,700.13 is: 617,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,321.56 : 282,700.13 = 282,700.13 : x
  2. Step 2: Convert to fraction form
    129,321.56/282,700.13 = 282,700.13/x
  3. Step 3: Cross multiply
    129,321.56x = 282,700.13 × 282,700.13
  4. Step 4: Simplify right side
    129,321.56x = 79,919,360,675.02
  5. Step 5: Solve for x
    x = 79,919,360,675.02/129,321.56
  6. Step 6: Final answer
    x = 617,989.45

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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.