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Finding the Third Proportional to 310,448 and 474,582

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Solution

The third proportional to 310,448 and 474,582 is: 725,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,448 : 474,582 = 474,582 : x
  2. Step 2: Convert to fraction form
    310,448/474,582 = 474,582/x
  3. Step 3: Cross multiply
    310,448x = 474,582 × 474,582
  4. Step 4: Simplify right side
    310,448x = 225,228,074,724
  5. Step 5: Solve for x
    x = 225,228,074,724/310,448
  6. Step 6: Final answer
    x = 725,493.72

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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.