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Finding the Third Proportional to 74,512 and 112,731

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Solution

The third proportional to 74,512 and 112,731 is: 170,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,512 : 112,731 = 112,731 : x
  2. Step 2: Convert to fraction form
    74,512/112,731 = 112,731/x
  3. Step 3: Cross multiply
    74,512x = 112,731 × 112,731
  4. Step 4: Simplify right side
    74,512x = 12,708,278,361
  5. Step 5: Solve for x
    x = 12,708,278,361/74,512
  6. Step 6: Final answer
    x = 170,553.45

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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.