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Finding the Third Proportional to 310,327 and 474,508

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Solution

The third proportional to 310,327 and 474,508 is: 725,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,327 : 474,508 = 474,508 : x
  2. Step 2: Convert to fraction form
    310,327/474,508 = 474,508/x
  3. Step 3: Cross multiply
    310,327x = 474,508 × 474,508
  4. Step 4: Simplify right side
    310,327x = 225,157,842,064
  5. Step 5: Solve for x
    x = 225,157,842,064/310,327
  6. Step 6: Final answer
    x = 725,550.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.