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Finding the Third Proportional to 77,110 and 112,383

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Solution

The third proportional to 77,110 and 112,383 is: 163,791.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110 : 112,383 = 112,383 : x
  2. Step 2: Convert to fraction form
    77,110/112,383 = 112,383/x
  3. Step 3: Cross multiply
    77,110x = 112,383 × 112,383
  4. Step 4: Simplify right side
    77,110x = 12,629,938,689
  5. Step 5: Solve for x
    x = 12,629,938,689/77,110
  6. Step 6: Final answer
    x = 163,791.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.