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Finding the Third Proportional to 247,419 and 551,502

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Solution

The third proportional to 247,419 and 551,502 is: 1,229,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,419 : 551,502 = 551,502 : x
  2. Step 2: Convert to fraction form
    247,419/551,502 = 551,502/x
  3. Step 3: Cross multiply
    247,419x = 551,502 × 551,502
  4. Step 4: Simplify right side
    247,419x = 304,154,456,004
  5. Step 5: Solve for x
    x = 304,154,456,004/247,419
  6. Step 6: Final answer
    x = 1,229,309.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.