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Finding the Third Proportional to 239,543 and 399,213

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Solution

The third proportional to 239,543 and 399,213 is: 665,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,543 : 399,213 = 399,213 : x
  2. Step 2: Convert to fraction form
    239,543/399,213 = 399,213/x
  3. Step 3: Cross multiply
    239,543x = 399,213 × 399,213
  4. Step 4: Simplify right side
    239,543x = 159,371,019,369
  5. Step 5: Solve for x
    x = 159,371,019,369/239,543
  6. Step 6: Final answer
    x = 665,312.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.