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Finding the Third Proportional to 91,418 and 138,101

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Solution

The third proportional to 91,418 and 138,101 is: 208,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,418 : 138,101 = 138,101 : x
  2. Step 2: Convert to fraction form
    91,418/138,101 = 138,101/x
  3. Step 3: Cross multiply
    91,418x = 138,101 × 138,101
  4. Step 4: Simplify right side
    91,418x = 19,071,886,201
  5. Step 5: Solve for x
    x = 19,071,886,201/91,418
  6. Step 6: Final answer
    x = 208,622.88

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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.