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Finding the Third Proportional to 74,058 and 156,378

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Solution

The third proportional to 74,058 and 156,378 is: 330,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,058 : 156,378 = 156,378 : x
  2. Step 2: Convert to fraction form
    74,058/156,378 = 156,378/x
  3. Step 3: Cross multiply
    74,058x = 156,378 × 156,378
  4. Step 4: Simplify right side
    74,058x = 24,454,078,884
  5. Step 5: Solve for x
    x = 24,454,078,884/74,058
  6. Step 6: Final answer
    x = 330,201.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.