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Finding the Third Proportional to 69,481 and 135,506

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Solution

The third proportional to 69,481 and 135,506 is: 264,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,481 : 135,506 = 135,506 : x
  2. Step 2: Convert to fraction form
    69,481/135,506 = 135,506/x
  3. Step 3: Cross multiply
    69,481x = 135,506 × 135,506
  4. Step 4: Simplify right side
    69,481x = 18,361,876,036
  5. Step 5: Solve for x
    x = 18,361,876,036/69,481
  6. Step 6: Final answer
    x = 264,271.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.