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Finding the Third Proportional to 84,205.50 and 130,743

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Solution

The third proportional to 84,205.50 and 130,743 is: 203,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,205.50 : 130,743 = 130,743 : x
  2. Step 2: Convert to fraction form
    84,205.50/130,743 = 130,743/x
  3. Step 3: Cross multiply
    84,205.50x = 130,743 × 130,743
  4. Step 4: Simplify right side
    84,205.50x = 17,093,732,049
  5. Step 5: Solve for x
    x = 17,093,732,049/84,205.50
  6. Step 6: Final answer
    x = 203,000.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.