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Finding the Third Proportional to 69,602 and 135,700

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Solution

The third proportional to 69,602 and 135,700 is: 264,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,602 : 135,700 = 135,700 : x
  2. Step 2: Convert to fraction form
    69,602/135,700 = 135,700/x
  3. Step 3: Cross multiply
    69,602x = 135,700 × 135,700
  4. Step 4: Simplify right side
    69,602x = 18,414,490,000
  5. Step 5: Solve for x
    x = 18,414,490,000/69,602
  6. Step 6: Final answer
    x = 264,568.40

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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.