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Finding the Third Proportional to 74,679 and 115,605

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Solution

The third proportional to 74,679 and 115,605 is: 178,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,679 : 115,605 = 115,605 : x
  2. Step 2: Convert to fraction form
    74,679/115,605 = 115,605/x
  3. Step 3: Cross multiply
    74,679x = 115,605 × 115,605
  4. Step 4: Simplify right side
    74,679x = 13,364,516,025
  5. Step 5: Solve for x
    x = 13,364,516,025/74,679
  6. Step 6: Final answer
    x = 178,959.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.