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Finding the Third Proportional to 75,142 and 112,478

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Solution

The third proportional to 75,142 and 112,478 is: 168,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142 : 112,478 = 112,478 : x
  2. Step 2: Convert to fraction form
    75,142/112,478 = 112,478/x
  3. Step 3: Cross multiply
    75,142x = 112,478 × 112,478
  4. Step 4: Simplify right side
    75,142x = 12,651,300,484
  5. Step 5: Solve for x
    x = 12,651,300,484/75,142
  6. Step 6: Final answer
    x = 168,365.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.