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Finding the Third Proportional to 78,781 and 114,787

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Solution

The third proportional to 78,781 and 114,787 is: 167,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,781 : 114,787 = 114,787 : x
  2. Step 2: Convert to fraction form
    78,781/114,787 = 114,787/x
  3. Step 3: Cross multiply
    78,781x = 114,787 × 114,787
  4. Step 4: Simplify right side
    78,781x = 13,176,055,369
  5. Step 5: Solve for x
    x = 13,176,055,369/78,781
  6. Step 6: Final answer
    x = 167,249.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.