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Finding the Third Proportional to 218,710 and 326,919

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Solution

The third proportional to 218,710 and 326,919 is: 488,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,710 : 326,919 = 326,919 : x
  2. Step 2: Convert to fraction form
    218,710/326,919 = 326,919/x
  3. Step 3: Cross multiply
    218,710x = 326,919 × 326,919
  4. Step 4: Simplify right side
    218,710x = 106,876,032,561
  5. Step 5: Solve for x
    x = 106,876,032,561/218,710
  6. Step 6: Final answer
    x = 488,665.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.