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Finding the Third Proportional to 212,381 and 321,292

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Solution

The third proportional to 212,381 and 321,292 is: 486,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,381 : 321,292 = 321,292 : x
  2. Step 2: Convert to fraction form
    212,381/321,292 = 321,292/x
  3. Step 3: Cross multiply
    212,381x = 321,292 × 321,292
  4. Step 4: Simplify right side
    212,381x = 103,228,549,264
  5. Step 5: Solve for x
    x = 103,228,549,264/212,381
  6. Step 6: Final answer
    x = 486,053.60

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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.