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Finding the Third Proportional to 218,475 and 474,318

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Solution

The third proportional to 218,475 and 474,318 is: 1,029,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,475 : 474,318 = 474,318 : x
  2. Step 2: Convert to fraction form
    218,475/474,318 = 474,318/x
  3. Step 3: Cross multiply
    218,475x = 474,318 × 474,318
  4. Step 4: Simplify right side
    218,475x = 224,977,565,124
  5. Step 5: Solve for x
    x = 224,977,565,124/218,475
  6. Step 6: Final answer
    x = 1,029,763.43

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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.