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Finding the Third Proportional to 69,574 and 105,689

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Solution

The third proportional to 69,574 and 105,689 is: 160,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,574 : 105,689 = 105,689 : x
  2. Step 2: Convert to fraction form
    69,574/105,689 = 105,689/x
  3. Step 3: Cross multiply
    69,574x = 105,689 × 105,689
  4. Step 4: Simplify right side
    69,574x = 11,170,164,721
  5. Step 5: Solve for x
    x = 11,170,164,721/69,574
  6. Step 6: Final answer
    x = 160,550.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.