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Finding the Third Proportional to 77,122 and 116,656

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Solution

The third proportional to 77,122 and 116,656 is: 176,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,122 : 116,656 = 116,656 : x
  2. Step 2: Convert to fraction form
    77,122/116,656 = 116,656/x
  3. Step 3: Cross multiply
    77,122x = 116,656 × 116,656
  4. Step 4: Simplify right side
    77,122x = 13,608,622,336
  5. Step 5: Solve for x
    x = 13,608,622,336/77,122
  6. Step 6: Final answer
    x = 176,455.78

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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.