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Finding the Third Proportional to 69,127 and 103,257

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Solution

The third proportional to 69,127 and 103,257 is: 154,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,127 : 103,257 = 103,257 : x
  2. Step 2: Convert to fraction form
    69,127/103,257 = 103,257/x
  3. Step 3: Cross multiply
    69,127x = 103,257 × 103,257
  4. Step 4: Simplify right side
    69,127x = 10,662,008,049
  5. Step 5: Solve for x
    x = 10,662,008,049/69,127
  6. Step 6: Final answer
    x = 154,237.97

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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.