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Finding the Third Proportional to 81,074 and 117,315

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Solution

The third proportional to 81,074 and 117,315 is: 169,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,074 : 117,315 = 117,315 : x
  2. Step 2: Convert to fraction form
    81,074/117,315 = 117,315/x
  3. Step 3: Cross multiply
    81,074x = 117,315 × 117,315
  4. Step 4: Simplify right side
    81,074x = 13,762,809,225
  5. Step 5: Solve for x
    x = 13,762,809,225/81,074
  6. Step 6: Final answer
    x = 169,756.14

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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.