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Finding the Third Proportional to 69,074 and 103,275

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Solution

The third proportional to 69,074 and 103,275 is: 154,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074 : 103,275 = 103,275 : x
  2. Step 2: Convert to fraction form
    69,074/103,275 = 103,275/x
  3. Step 3: Cross multiply
    69,074x = 103,275 × 103,275
  4. Step 4: Simplify right side
    69,074x = 10,665,725,625
  5. Step 5: Solve for x
    x = 10,665,725,625/69,074
  6. Step 6: Final answer
    x = 154,410.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.