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Finding the Third Proportional to 69,516 and 107,729

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Solution

The third proportional to 69,516 and 107,729 is: 166,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,516 : 107,729 = 107,729 : x
  2. Step 2: Convert to fraction form
    69,516/107,729 = 107,729/x
  3. Step 3: Cross multiply
    69,516x = 107,729 × 107,729
  4. Step 4: Simplify right side
    69,516x = 11,605,537,441
  5. Step 5: Solve for x
    x = 11,605,537,441/69,516
  6. Step 6: Final answer
    x = 166,947.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.