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Finding the Third Proportional to 77,328 and 102,816

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Solution

The third proportional to 77,328 and 102,816 is: 136,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,328 : 102,816 = 102,816 : x
  2. Step 2: Convert to fraction form
    77,328/102,816 = 102,816/x
  3. Step 3: Cross multiply
    77,328x = 102,816 × 102,816
  4. Step 4: Simplify right side
    77,328x = 10,571,129,856
  5. Step 5: Solve for x
    x = 10,571,129,856/77,328
  6. Step 6: Final answer
    x = 136,705.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.