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Finding the Third Proportional to 75,831 and 161,490

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Solution

The third proportional to 75,831 and 161,490 is: 343,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,831 : 161,490 = 161,490 : x
  2. Step 2: Convert to fraction form
    75,831/161,490 = 161,490/x
  3. Step 3: Cross multiply
    75,831x = 161,490 × 161,490
  4. Step 4: Simplify right side
    75,831x = 26,079,020,100
  5. Step 5: Solve for x
    x = 26,079,020,100/75,831
  6. Step 6: Final answer
    x = 343,909.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.