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Finding the Third Proportional to 74,680 and 115,640

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Solution

The third proportional to 74,680 and 115,640 is: 179,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,680 : 115,640 = 115,640 : x
  2. Step 2: Convert to fraction form
    74,680/115,640 = 115,640/x
  3. Step 3: Cross multiply
    74,680x = 115,640 × 115,640
  4. Step 4: Simplify right side
    74,680x = 13,372,609,600
  5. Step 5: Solve for x
    x = 13,372,609,600/74,680
  6. Step 6: Final answer
    x = 179,065.47

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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.