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Finding the Third Proportional to 74,656 and 115,856

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Solution

The third proportional to 74,656 and 115,856 is: 179,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,656 : 115,856 = 115,856 : x
  2. Step 2: Convert to fraction form
    74,656/115,856 = 115,856/x
  3. Step 3: Cross multiply
    74,656x = 115,856 × 115,856
  4. Step 4: Simplify right side
    74,656x = 13,422,612,736
  5. Step 5: Solve for x
    x = 13,422,612,736/74,656
  6. Step 6: Final answer
    x = 179,792.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.