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Finding the Third Proportional to 81,236 and 123,438

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Solution

The third proportional to 81,236 and 123,438 is: 187,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,236 : 123,438 = 123,438 : x
  2. Step 2: Convert to fraction form
    81,236/123,438 = 123,438/x
  3. Step 3: Cross multiply
    81,236x = 123,438 × 123,438
  4. Step 4: Simplify right side
    81,236x = 15,236,939,844
  5. Step 5: Solve for x
    x = 15,236,939,844/81,236
  6. Step 6: Final answer
    x = 187,563.89

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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.