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Finding the Third Proportional to 75,139 and 158,660

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Solution

The third proportional to 75,139 and 158,660 is: 335,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,139 : 158,660 = 158,660 : x
  2. Step 2: Convert to fraction form
    75,139/158,660 = 158,660/x
  3. Step 3: Cross multiply
    75,139x = 158,660 × 158,660
  4. Step 4: Simplify right side
    75,139x = 25,172,995,600
  5. Step 5: Solve for x
    x = 25,172,995,600/75,139
  6. Step 6: Final answer
    x = 335,019.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.