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Finding the Third Proportional to 323,646 and 502,509

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Solution

The third proportional to 323,646 and 502,509 is: 780,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,646 : 502,509 = 502,509 : x
  2. Step 2: Convert to fraction form
    323,646/502,509 = 502,509/x
  3. Step 3: Cross multiply
    323,646x = 502,509 × 502,509
  4. Step 4: Simplify right side
    323,646x = 252,515,295,081
  5. Step 5: Solve for x
    x = 252,515,295,081/323,646
  6. Step 6: Final answer
    x = 780,220.66

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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.