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Finding the Third Proportional to 90,316.25 and 140,643.75

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Solution

The third proportional to 90,316.25 and 140,643.75 is: 219,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,316.25 : 140,643.75 = 140,643.75 : x
  2. Step 2: Convert to fraction form
    90,316.25/140,643.75 = 140,643.75/x
  3. Step 3: Cross multiply
    90,316.25x = 140,643.75 × 140,643.75
  4. Step 4: Simplify right side
    90,316.25x = 19,780,664,414.06
  5. Step 5: Solve for x
    x = 19,780,664,414.06/90,316.25
  6. Step 6: Final answer
    x = 219,015.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.