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Finding the Third Proportional to 51,266 and 77,187

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Solution

The third proportional to 51,266 and 77,187 is: 116,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,266 : 77,187 = 77,187 : x
  2. Step 2: Convert to fraction form
    51,266/77,187 = 77,187/x
  3. Step 3: Cross multiply
    51,266x = 77,187 × 77,187
  4. Step 4: Simplify right side
    51,266x = 5,957,832,969
  5. Step 5: Solve for x
    x = 5,957,832,969/51,266
  6. Step 6: Final answer
    x = 116,214.12

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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.