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Finding the Third Proportional to 310,436 and 474,675

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Solution

The third proportional to 310,436 and 474,675 is: 725,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,436 : 474,675 = 474,675 : x
  2. Step 2: Convert to fraction form
    310,436/474,675 = 474,675/x
  3. Step 3: Cross multiply
    310,436x = 474,675 × 474,675
  4. Step 4: Simplify right side
    310,436x = 225,316,355,625
  5. Step 5: Solve for x
    x = 225,316,355,625/310,436
  6. Step 6: Final answer
    x = 725,806.14

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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.