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Finding the Third Proportional to 221,565.75 and 343,729.50

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Solution

The third proportional to 221,565.75 and 343,729.50 is: 533,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,565.75 : 343,729.50 = 343,729.50 : x
  2. Step 2: Convert to fraction form
    221,565.75/343,729.50 = 343,729.50/x
  3. Step 3: Cross multiply
    221,565.75x = 343,729.50 × 343,729.50
  4. Step 4: Simplify right side
    221,565.75x = 118,149,969,170.25
  5. Step 5: Solve for x
    x = 118,149,969,170.25/221,565.75
  6. Step 6: Final answer
    x = 533,250.15

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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.