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Finding the Third Proportional to 74,520 and 112,743

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Solution

The third proportional to 74,520 and 112,743 is: 170,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,520 : 112,743 = 112,743 : x
  2. Step 2: Convert to fraction form
    74,520/112,743 = 112,743/x
  3. Step 3: Cross multiply
    74,520x = 112,743 × 112,743
  4. Step 4: Simplify right side
    74,520x = 12,710,984,049
  5. Step 5: Solve for x
    x = 12,710,984,049/74,520
  6. Step 6: Final answer
    x = 170,571.44

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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.