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Finding the Third Proportional to 217,871 and 326,697

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Solution

The third proportional to 217,871 and 326,697 is: 489,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,871 : 326,697 = 326,697 : x
  2. Step 2: Convert to fraction form
    217,871/326,697 = 326,697/x
  3. Step 3: Cross multiply
    217,871x = 326,697 × 326,697
  4. Step 4: Simplify right side
    217,871x = 106,730,929,809
  5. Step 5: Solve for x
    x = 106,730,929,809/217,871
  6. Step 6: Final answer
    x = 489,881.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.