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Finding the Third Proportional to 74,380 and 113,315

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Solution

The third proportional to 74,380 and 113,315 is: 172,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,380 : 113,315 = 113,315 : x
  2. Step 2: Convert to fraction form
    74,380/113,315 = 113,315/x
  3. Step 3: Cross multiply
    74,380x = 113,315 × 113,315
  4. Step 4: Simplify right side
    74,380x = 12,840,289,225
  5. Step 5: Solve for x
    x = 12,840,289,225/74,380
  6. Step 6: Final answer
    x = 172,630.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.