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Finding the Third Proportional to 218,416 and 477,872

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Solution

The third proportional to 218,416 and 477,872 is: 1,045,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,416 : 477,872 = 477,872 : x
  2. Step 2: Convert to fraction form
    218,416/477,872 = 477,872/x
  3. Step 3: Cross multiply
    218,416x = 477,872 × 477,872
  4. Step 4: Simplify right side
    218,416x = 228,361,648,384
  5. Step 5: Solve for x
    x = 228,361,648,384/218,416
  6. Step 6: Final answer
    x = 1,045,535.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.