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Finding the Third Proportional to 215,868 and 326,820

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Solution

The third proportional to 215,868 and 326,820 is: 494,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,868 : 326,820 = 326,820 : x
  2. Step 2: Convert to fraction form
    215,868/326,820 = 326,820/x
  3. Step 3: Cross multiply
    215,868x = 326,820 × 326,820
  4. Step 4: Simplify right side
    215,868x = 106,811,312,400
  5. Step 5: Solve for x
    x = 106,811,312,400/215,868
  6. Step 6: Final answer
    x = 494,799.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.