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Finding the Third Proportional to 218,424 and 476,376

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Solution

The third proportional to 218,424 and 476,376 is: 1,038,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,424 : 476,376 = 476,376 : x
  2. Step 2: Convert to fraction form
    218,424/476,376 = 476,376/x
  3. Step 3: Cross multiply
    218,424x = 476,376 × 476,376
  4. Step 4: Simplify right side
    218,424x = 226,934,093,376
  5. Step 5: Solve for x
    x = 226,934,093,376/218,424
  6. Step 6: Final answer
    x = 1,038,961.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.