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Finding the Third Proportional to 42,251 and 79,178

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Solution

The third proportional to 42,251 and 79,178 is: 148,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,251 : 79,178 = 79,178 : x
  2. Step 2: Convert to fraction form
    42,251/79,178 = 79,178/x
  3. Step 3: Cross multiply
    42,251x = 79,178 × 79,178
  4. Step 4: Simplify right side
    42,251x = 6,269,155,684
  5. Step 5: Solve for x
    x = 6,269,155,684/42,251
  6. Step 6: Final answer
    x = 148,378.87

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.