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Finding the Third Proportional to 92,110 and 146,471

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Solution

The third proportional to 92,110 and 146,471 is: 232,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,110 : 146,471 = 146,471 : x
  2. Step 2: Convert to fraction form
    92,110/146,471 = 146,471/x
  3. Step 3: Cross multiply
    92,110x = 146,471 × 146,471
  4. Step 4: Simplify right side
    92,110x = 21,453,753,841
  5. Step 5: Solve for x
    x = 21,453,753,841/92,110
  6. Step 6: Final answer
    x = 232,914.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.