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Finding the Third Proportional to 117,987 and 186,915

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Solution

The third proportional to 117,987 and 186,915 is: 296,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,987 : 186,915 = 186,915 : x
  2. Step 2: Convert to fraction form
    117,987/186,915 = 186,915/x
  3. Step 3: Cross multiply
    117,987x = 186,915 × 186,915
  4. Step 4: Simplify right side
    117,987x = 34,937,217,225
  5. Step 5: Solve for x
    x = 34,937,217,225/117,987
  6. Step 6: Final answer
    x = 296,110.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.