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Finding the Third Proportional to 69,035 and 102,580

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Solution

The third proportional to 69,035 and 102,580 is: 152,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,035 : 102,580 = 102,580 : x
  2. Step 2: Convert to fraction form
    69,035/102,580 = 102,580/x
  3. Step 3: Cross multiply
    69,035x = 102,580 × 102,580
  4. Step 4: Simplify right side
    69,035x = 10,522,656,400
  5. Step 5: Solve for x
    x = 10,522,656,400/69,035
  6. Step 6: Final answer
    x = 152,424.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.