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Finding the Third Proportional to 218,248 and 469,868

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Solution

The third proportional to 218,248 and 469,868 is: 1,011,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,248 : 469,868 = 469,868 : x
  2. Step 2: Convert to fraction form
    218,248/469,868 = 469,868/x
  3. Step 3: Cross multiply
    218,248x = 469,868 × 469,868
  4. Step 4: Simplify right side
    218,248x = 220,775,937,424
  5. Step 5: Solve for x
    x = 220,775,937,424/218,248
  6. Step 6: Final answer
    x = 1,011,582.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.