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Finding the Third Proportional to 243,604 and 531,474

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Solution

The third proportional to 243,604 and 531,474 is: 1,159,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,604 : 531,474 = 531,474 : x
  2. Step 2: Convert to fraction form
    243,604/531,474 = 531,474/x
  3. Step 3: Cross multiply
    243,604x = 531,474 × 531,474
  4. Step 4: Simplify right side
    243,604x = 282,464,612,676
  5. Step 5: Solve for x
    x = 282,464,612,676/243,604
  6. Step 6: Final answer
    x = 1,159,523.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.