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Finding the Third Proportional to 73,910 and 113,781

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Solution

The third proportional to 73,910 and 113,781 is: 175,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,910 : 113,781 = 113,781 : x
  2. Step 2: Convert to fraction form
    73,910/113,781 = 113,781/x
  3. Step 3: Cross multiply
    73,910x = 113,781 × 113,781
  4. Step 4: Simplify right side
    73,910x = 12,946,115,961
  5. Step 5: Solve for x
    x = 12,946,115,961/73,910
  6. Step 6: Final answer
    x = 175,160.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.