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Finding the Third Proportional to 221,560.31 and 343,720.97

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Solution

The third proportional to 221,560.31 and 343,720.97 is: 533,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,560.31 : 343,720.97 = 343,720.97 : x
  2. Step 2: Convert to fraction form
    221,560.31/343,720.97 = 343,720.97/x
  3. Step 3: Cross multiply
    221,560.31x = 343,720.97 × 343,720.97
  4. Step 4: Simplify right side
    221,560.31x = 118,144,104,358.44
  5. Step 5: Solve for x
    x = 118,144,104,358.44/221,560.31
  6. Step 6: Final answer
    x = 533,236.77

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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.