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Finding the Third Proportional to 136,409 and 321,552

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Solution

The third proportional to 136,409 and 321,552 is: 757,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,409 : 321,552 = 321,552 : x
  2. Step 2: Convert to fraction form
    136,409/321,552 = 321,552/x
  3. Step 3: Cross multiply
    136,409x = 321,552 × 321,552
  4. Step 4: Simplify right side
    136,409x = 103,395,688,704
  5. Step 5: Solve for x
    x = 103,395,688,704/136,409
  6. Step 6: Final answer
    x = 757,982.89

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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.