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Finding the Third Proportional to 91,078 and 138,462

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Solution

The third proportional to 91,078 and 138,462 is: 210,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,078 : 138,462 = 138,462 : x
  2. Step 2: Convert to fraction form
    91,078/138,462 = 138,462/x
  3. Step 3: Cross multiply
    91,078x = 138,462 × 138,462
  4. Step 4: Simplify right side
    91,078x = 19,171,725,444
  5. Step 5: Solve for x
    x = 19,171,725,444/91,078
  6. Step 6: Final answer
    x = 210,497.87

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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.