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Finding the Third Proportional to 323,650 and 502,515

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Solution

The third proportional to 323,650 and 502,515 is: 780,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,650 : 502,515 = 502,515 : x
  2. Step 2: Convert to fraction form
    323,650/502,515 = 502,515/x
  3. Step 3: Cross multiply
    323,650x = 502,515 × 502,515
  4. Step 4: Simplify right side
    323,650x = 252,521,325,225
  5. Step 5: Solve for x
    x = 252,521,325,225/323,650
  6. Step 6: Final answer
    x = 780,229.65

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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.