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Finding the Third Proportional to 77,666 and 112,731

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Solution

The third proportional to 77,666 and 112,731 is: 163,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,666 : 112,731 = 112,731 : x
  2. Step 2: Convert to fraction form
    77,666/112,731 = 112,731/x
  3. Step 3: Cross multiply
    77,666x = 112,731 × 112,731
  4. Step 4: Simplify right side
    77,666x = 12,708,278,361
  5. Step 5: Solve for x
    x = 12,708,278,361/77,666
  6. Step 6: Final answer
    x = 163,627.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.