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Finding the Third Proportional to 310,330 and 474,519

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Solution

The third proportional to 310,330 and 474,519 is: 725,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,330 : 474,519 = 474,519 : x
  2. Step 2: Convert to fraction form
    310,330/474,519 = 474,519/x
  3. Step 3: Cross multiply
    310,330x = 474,519 × 474,519
  4. Step 4: Simplify right side
    310,330x = 225,168,281,361
  5. Step 5: Solve for x
    x = 225,168,281,361/310,330
  6. Step 6: Final answer
    x = 725,576.91

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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.