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Finding the Third Proportional to 323,648 and 502,512

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Solution

The third proportional to 323,648 and 502,512 is: 780,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,648 : 502,512 = 502,512 : x
  2. Step 2: Convert to fraction form
    323,648/502,512 = 502,512/x
  3. Step 3: Cross multiply
    323,648x = 502,512 × 502,512
  4. Step 4: Simplify right side
    323,648x = 252,518,310,144
  5. Step 5: Solve for x
    x = 252,518,310,144/323,648
  6. Step 6: Final answer
    x = 780,225.15

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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.