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Finding the Third Proportional to 68,438.25 and 140,157

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Solution

The third proportional to 68,438.25 and 140,157 is: 287,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,438.25 : 140,157 = 140,157 : x
  2. Step 2: Convert to fraction form
    68,438.25/140,157 = 140,157/x
  3. Step 3: Cross multiply
    68,438.25x = 140,157 × 140,157
  4. Step 4: Simplify right side
    68,438.25x = 19,643,984,649
  5. Step 5: Solve for x
    x = 19,643,984,649/68,438.25
  6. Step 6: Final answer
    x = 287,032.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.