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Finding the Third Proportional to 218,324 and 474,505

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Solution

The third proportional to 218,324 and 474,505 is: 1,031,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,324 : 474,505 = 474,505 : x
  2. Step 2: Convert to fraction form
    218,324/474,505 = 474,505/x
  3. Step 3: Cross multiply
    218,324x = 474,505 × 474,505
  4. Step 4: Simplify right side
    218,324x = 225,154,995,025
  5. Step 5: Solve for x
    x = 225,154,995,025/218,324
  6. Step 6: Final answer
    x = 1,031,288.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.