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Finding the Third Proportional to 243,790.50 and 323,565

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Solution

The third proportional to 243,790.50 and 323,565 is: 429,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,790.50 : 323,565 = 323,565 : x
  2. Step 2: Convert to fraction form
    243,790.50/323,565 = 323,565/x
  3. Step 3: Cross multiply
    243,790.50x = 323,565 × 323,565
  4. Step 4: Simplify right side
    243,790.50x = 104,694,309,225
  5. Step 5: Solve for x
    x = 104,694,309,225/243,790.50
  6. Step 6: Final answer
    x = 429,443.76

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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.