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Finding the Third Proportional to 77,456 and 115,864

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Solution

The third proportional to 77,456 and 115,864 is: 173,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,456 : 115,864 = 115,864 : x
  2. Step 2: Convert to fraction form
    77,456/115,864 = 115,864/x
  3. Step 3: Cross multiply
    77,456x = 115,864 × 115,864
  4. Step 4: Simplify right side
    77,456x = 13,424,466,496
  5. Step 5: Solve for x
    x = 13,424,466,496/77,456
  6. Step 6: Final answer
    x = 173,317.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.