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Finding the Third Proportional to 80,640 and 112,790.25

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Solution

The third proportional to 80,640 and 112,790.25 is: 157,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,640 : 112,790.25 = 112,790.25 : x
  2. Step 2: Convert to fraction form
    80,640/112,790.25 = 112,790.25/x
  3. Step 3: Cross multiply
    80,640x = 112,790.25 × 112,790.25
  4. Step 4: Simplify right side
    80,640x = 12,721,640,495.06
  5. Step 5: Solve for x
    x = 12,721,640,495.06/80,640
  6. Step 6: Final answer
    x = 157,758.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.