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Finding the Third Proportional to 67,160.25 and 140,773.50

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Solution

The third proportional to 67,160.25 and 140,773.50 is: 295,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,160.25 : 140,773.50 = 140,773.50 : x
  2. Step 2: Convert to fraction form
    67,160.25/140,773.50 = 140,773.50/x
  3. Step 3: Cross multiply
    67,160.25x = 140,773.50 × 140,773.50
  4. Step 4: Simplify right side
    67,160.25x = 19,817,178,302.25
  5. Step 5: Solve for x
    x = 19,817,178,302.25/67,160.25
  6. Step 6: Final answer
    x = 295,073.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.