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Finding the Third Proportional to 136,422 and 321,586

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Solution

The third proportional to 136,422 and 321,586 is: 758,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,422 : 321,586 = 321,586 : x
  2. Step 2: Convert to fraction form
    136,422/321,586 = 321,586/x
  3. Step 3: Cross multiply
    136,422x = 321,586 × 321,586
  4. Step 4: Simplify right side
    136,422x = 103,417,555,396
  5. Step 5: Solve for x
    x = 103,417,555,396/136,422
  6. Step 6: Final answer
    x = 758,070.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.