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Finding the Third Proportional to 69,350 and 102,729

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Solution

The third proportional to 69,350 and 102,729 is: 152,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,350 : 102,729 = 102,729 : x
  2. Step 2: Convert to fraction form
    69,350/102,729 = 102,729/x
  3. Step 3: Cross multiply
    69,350x = 102,729 × 102,729
  4. Step 4: Simplify right side
    69,350x = 10,553,247,441
  5. Step 5: Solve for x
    x = 10,553,247,441/69,350
  6. Step 6: Final answer
    x = 152,173.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.