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Finding the Third Proportional to 51,703 and 77,987

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Solution

The third proportional to 51,703 and 77,987 is: 117,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703 : 77,987 = 77,987 : x
  2. Step 2: Convert to fraction form
    51,703/77,987 = 77,987/x
  3. Step 3: Cross multiply
    51,703x = 77,987 × 77,987
  4. Step 4: Simplify right side
    51,703x = 6,081,972,169
  5. Step 5: Solve for x
    x = 6,081,972,169/51,703
  6. Step 6: Final answer
    x = 117,632.87

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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.