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Finding the Third Proportional to 307,920 and 474,520

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Solution

The third proportional to 307,920 and 474,520 is: 731,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,920 : 474,520 = 474,520 : x
  2. Step 2: Convert to fraction form
    307,920/474,520 = 474,520/x
  3. Step 3: Cross multiply
    307,920x = 474,520 × 474,520
  4. Step 4: Simplify right side
    307,920x = 225,169,230,400
  5. Step 5: Solve for x
    x = 225,169,230,400/307,920
  6. Step 6: Final answer
    x = 731,258.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.