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Finding the Third Proportional to 81,256 and 124,044

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Solution

The third proportional to 81,256 and 124,044 is: 189,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,256 : 124,044 = 124,044 : x
  2. Step 2: Convert to fraction form
    81,256/124,044 = 124,044/x
  3. Step 3: Cross multiply
    81,256x = 124,044 × 124,044
  4. Step 4: Simplify right side
    81,256x = 15,386,913,936
  5. Step 5: Solve for x
    x = 15,386,913,936/81,256
  6. Step 6: Final answer
    x = 189,363.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.