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Finding the Third Proportional to 74,538 and 115,371

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Solution

The third proportional to 74,538 and 115,371 is: 178,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,538 : 115,371 = 115,371 : x
  2. Step 2: Convert to fraction form
    74,538/115,371 = 115,371/x
  3. Step 3: Cross multiply
    74,538x = 115,371 × 115,371
  4. Step 4: Simplify right side
    74,538x = 13,310,467,641
  5. Step 5: Solve for x
    x = 13,310,467,641/74,538
  6. Step 6: Final answer
    x = 178,572.91

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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.