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Finding the Third Proportional to 83,160.50 and 130,304

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Solution

The third proportional to 83,160.50 and 130,304 is: 204,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,160.50 : 130,304 = 130,304 : x
  2. Step 2: Convert to fraction form
    83,160.50/130,304 = 130,304/x
  3. Step 3: Cross multiply
    83,160.50x = 130,304 × 130,304
  4. Step 4: Simplify right side
    83,160.50x = 16,979,132,416
  5. Step 5: Solve for x
    x = 16,979,132,416/83,160.50
  6. Step 6: Final answer
    x = 204,173.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.