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Finding the Third Proportional to 91,686.75 and 140,252.88

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Solution

The third proportional to 91,686.75 and 140,252.88 is: 214,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,686.75 : 140,252.88 = 140,252.88 : x
  2. Step 2: Convert to fraction form
    91,686.75/140,252.88 = 140,252.88/x
  3. Step 3: Cross multiply
    91,686.75x = 140,252.88 × 140,252.88
  4. Step 4: Simplify right side
    91,686.75x = 19,670,868,945.77
  5. Step 5: Solve for x
    x = 19,670,868,945.77/91,686.75
  6. Step 6: Final answer
    x = 214,544.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.