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Finding the Third Proportional to 68,191.88 and 139,765.50

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Solution

The third proportional to 68,191.88 and 139,765.50 is: 286,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,191.88 : 139,765.50 = 139,765.50 : x
  2. Step 2: Convert to fraction form
    68,191.88/139,765.50 = 139,765.50/x
  3. Step 3: Cross multiply
    68,191.88x = 139,765.50 × 139,765.50
  4. Step 4: Simplify right side
    68,191.88x = 19,534,394,990.25
  5. Step 5: Solve for x
    x = 19,534,394,990.25/68,191.88
  6. Step 6: Final answer
    x = 286,462.21

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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.