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Finding the Third Proportional to 218,457 and 474,282

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Solution

The third proportional to 218,457 and 474,282 is: 1,029,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,457 : 474,282 = 474,282 : x
  2. Step 2: Convert to fraction form
    218,457/474,282 = 474,282/x
  3. Step 3: Cross multiply
    218,457x = 474,282 × 474,282
  4. Step 4: Simplify right side
    218,457x = 224,943,415,524
  5. Step 5: Solve for x
    x = 224,943,415,524/218,457
  6. Step 6: Final answer
    x = 1,029,691.96

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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.