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Finding the Third Proportional to 323,640 and 502,500

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Solution

The third proportional to 323,640 and 502,500 is: 780,207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,640 : 502,500 = 502,500 : x
  2. Step 2: Convert to fraction form
    323,640/502,500 = 502,500/x
  3. Step 3: Cross multiply
    323,640x = 502,500 × 502,500
  4. Step 4: Simplify right side
    323,640x = 252,506,250,000
  5. Step 5: Solve for x
    x = 252,506,250,000/323,640
  6. Step 6: Final answer
    x = 780,207.17

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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.