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Finding the Third Proportional to 74,786 and 112,755

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Solution

The third proportional to 74,786 and 112,755 is: 170,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,786 : 112,755 = 112,755 : x
  2. Step 2: Convert to fraction form
    74,786/112,755 = 112,755/x
  3. Step 3: Cross multiply
    74,786x = 112,755 × 112,755
  4. Step 4: Simplify right side
    74,786x = 12,713,690,025
  5. Step 5: Solve for x
    x = 12,713,690,025/74,786
  6. Step 6: Final answer
    x = 170,000.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.