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Finding the Third Proportional to 75,438 and 157,076

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Solution

The third proportional to 75,438 and 157,076 is: 327,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,438 : 157,076 = 157,076 : x
  2. Step 2: Convert to fraction form
    75,438/157,076 = 157,076/x
  3. Step 3: Cross multiply
    75,438x = 157,076 × 157,076
  4. Step 4: Simplify right side
    75,438x = 24,672,869,776
  5. Step 5: Solve for x
    x = 24,672,869,776/75,438
  6. Step 6: Final answer
    x = 327,061.56

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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.