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Finding the Third Proportional to 77,840 and 110,928

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Solution

The third proportional to 77,840 and 110,928 is: 158,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,840 : 110,928 = 110,928 : x
  2. Step 2: Convert to fraction form
    77,840/110,928 = 110,928/x
  3. Step 3: Cross multiply
    77,840x = 110,928 × 110,928
  4. Step 4: Simplify right side
    77,840x = 12,305,021,184
  5. Step 5: Solve for x
    x = 12,305,021,184/77,840
  6. Step 6: Final answer
    x = 158,080.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.