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Finding the Third Proportional to 75,275 and 112,919

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Solution

The third proportional to 75,275 and 112,919 is: 169,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,275 : 112,919 = 112,919 : x
  2. Step 2: Convert to fraction form
    75,275/112,919 = 112,919/x
  3. Step 3: Cross multiply
    75,275x = 112,919 × 112,919
  4. Step 4: Simplify right side
    75,275x = 12,750,700,561
  5. Step 5: Solve for x
    x = 12,750,700,561/75,275
  6. Step 6: Final answer
    x = 169,388.25

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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.