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Finding the Third Proportional to 77,869 and 111,352

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Solution

The third proportional to 77,869 and 111,352 is: 159,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,869 : 111,352 = 111,352 : x
  2. Step 2: Convert to fraction form
    77,869/111,352 = 111,352/x
  3. Step 3: Cross multiply
    77,869x = 111,352 × 111,352
  4. Step 4: Simplify right side
    77,869x = 12,399,267,904
  5. Step 5: Solve for x
    x = 12,399,267,904/77,869
  6. Step 6: Final answer
    x = 159,232.40

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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.