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Finding the Third Proportional to 36,056 and 77,092

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Solution

The third proportional to 36,056 and 77,092 is: 164,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,056 : 77,092 = 77,092 : x
  2. Step 2: Convert to fraction form
    36,056/77,092 = 77,092/x
  3. Step 3: Cross multiply
    36,056x = 77,092 × 77,092
  4. Step 4: Simplify right side
    36,056x = 5,943,176,464
  5. Step 5: Solve for x
    x = 5,943,176,464/36,056
  6. Step 6: Final answer
    x = 164,831.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.