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Finding the Third Proportional to 91,546 and 138,610

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Solution

The third proportional to 91,546 and 138,610 is: 209,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,546 : 138,610 = 138,610 : x
  2. Step 2: Convert to fraction form
    91,546/138,610 = 138,610/x
  3. Step 3: Cross multiply
    91,546x = 138,610 × 138,610
  4. Step 4: Simplify right side
    91,546x = 19,212,732,100
  5. Step 5: Solve for x
    x = 19,212,732,100/91,546
  6. Step 6: Final answer
    x = 209,869.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.