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Finding the Third Proportional to 99,000 and 131,275.13

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Solution

The third proportional to 99,000 and 131,275.13 is: 174,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,000 : 131,275.13 = 131,275.13 : x
  2. Step 2: Convert to fraction form
    99,000/131,275.13 = 131,275.13/x
  3. Step 3: Cross multiply
    99,000x = 131,275.13 × 131,275.13
  4. Step 4: Simplify right side
    99,000x = 17,233,158,443.77
  5. Step 5: Solve for x
    x = 17,233,158,443.77/99,000
  6. Step 6: Final answer
    x = 174,072.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.