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Finding the Third Proportional to 75,822 and 157,800

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Solution

The third proportional to 75,822 and 157,800 is: 328,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,822 : 157,800 = 157,800 : x
  2. Step 2: Convert to fraction form
    75,822/157,800 = 157,800/x
  3. Step 3: Cross multiply
    75,822x = 157,800 × 157,800
  4. Step 4: Simplify right side
    75,822x = 24,900,840,000
  5. Step 5: Solve for x
    x = 24,900,840,000/75,822
  6. Step 6: Final answer
    x = 328,411.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.