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Finding the Third Proportional to 215,658 and 326,487

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Solution

The third proportional to 215,658 and 326,487 is: 494,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,658 : 326,487 = 326,487 : x
  2. Step 2: Convert to fraction form
    215,658/326,487 = 326,487/x
  3. Step 3: Cross multiply
    215,658x = 326,487 × 326,487
  4. Step 4: Simplify right side
    215,658x = 106,593,761,169
  5. Step 5: Solve for x
    x = 106,593,761,169/215,658
  6. Step 6: Final answer
    x = 494,272.23

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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.