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Finding the Third Proportional to 253,441.50 and 354,327.75

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Solution

The third proportional to 253,441.50 and 354,327.75 is: 495,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,441.50 : 354,327.75 = 354,327.75 : x
  2. Step 2: Convert to fraction form
    253,441.50/354,327.75 = 354,327.75/x
  3. Step 3: Cross multiply
    253,441.50x = 354,327.75 × 354,327.75
  4. Step 4: Simplify right side
    253,441.50x = 125,548,154,420.06
  5. Step 5: Solve for x
    x = 125,548,154,420.06/253,441.50
  6. Step 6: Final answer
    x = 495,373.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.