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Finding the Third Proportional to 243,853.50 and 323,649

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Solution

The third proportional to 243,853.50 and 323,649 is: 429,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,853.50 : 323,649 = 323,649 : x
  2. Step 2: Convert to fraction form
    243,853.50/323,649 = 323,649/x
  3. Step 3: Cross multiply
    243,853.50x = 323,649 × 323,649
  4. Step 4: Simplify right side
    243,853.50x = 104,748,675,201
  5. Step 5: Solve for x
    x = 104,748,675,201/243,853.50
  6. Step 6: Final answer
    x = 429,555.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.