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Finding the Third Proportional to 74,179 and 153,542

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Solution

The third proportional to 74,179 and 153,542 is: 317,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,179 : 153,542 = 153,542 : x
  2. Step 2: Convert to fraction form
    74,179/153,542 = 153,542/x
  3. Step 3: Cross multiply
    74,179x = 153,542 × 153,542
  4. Step 4: Simplify right side
    74,179x = 23,575,145,764
  5. Step 5: Solve for x
    x = 23,575,145,764/74,179
  6. Step 6: Final answer
    x = 317,814.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.