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Finding the Third Proportional to 67,853 and 78,869

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Solution

The third proportional to 67,853 and 78,869 is: 91,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,853 : 78,869 = 78,869 : x
  2. Step 2: Convert to fraction form
    67,853/78,869 = 78,869/x
  3. Step 3: Cross multiply
    67,853x = 78,869 × 78,869
  4. Step 4: Simplify right side
    67,853x = 6,220,319,161
  5. Step 5: Solve for x
    x = 6,220,319,161/67,853
  6. Step 6: Final answer
    x = 91,673.46

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.