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Finding the Third Proportional to 274,347 and 416,380.50

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Solution

The third proportional to 274,347 and 416,380.50 is: 631,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,347 : 416,380.50 = 416,380.50 : x
  2. Step 2: Convert to fraction form
    274,347/416,380.50 = 416,380.50/x
  3. Step 3: Cross multiply
    274,347x = 416,380.50 × 416,380.50
  4. Step 4: Simplify right side
    274,347x = 173,372,720,780.25
  5. Step 5: Solve for x
    x = 173,372,720,780.25/274,347
  6. Step 6: Final answer
    x = 631,946.84

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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.