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Finding the Third Proportional to 74,520 and 112,742

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Solution

The third proportional to 74,520 and 112,742 is: 170,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,520 : 112,742 = 112,742 : x
  2. Step 2: Convert to fraction form
    74,520/112,742 = 112,742/x
  3. Step 3: Cross multiply
    74,520x = 112,742 × 112,742
  4. Step 4: Simplify right side
    74,520x = 12,710,758,564
  5. Step 5: Solve for x
    x = 12,710,758,564/74,520
  6. Step 6: Final answer
    x = 170,568.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.