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Finding the Third Proportional to 85,626 and 121,713

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Solution

The third proportional to 85,626 and 121,713 is: 173,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,626 : 121,713 = 121,713 : x
  2. Step 2: Convert to fraction form
    85,626/121,713 = 121,713/x
  3. Step 3: Cross multiply
    85,626x = 121,713 × 121,713
  4. Step 4: Simplify right side
    85,626x = 14,814,054,369
  5. Step 5: Solve for x
    x = 14,814,054,369/85,626
  6. Step 6: Final answer
    x = 173,008.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.