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Finding the Third Proportional to 72,068.25 and 111,972.75

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Solution

The third proportional to 72,068.25 and 111,972.75 is: 173,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,068.25 : 111,972.75 = 111,972.75 : x
  2. Step 2: Convert to fraction form
    72,068.25/111,972.75 = 111,972.75/x
  3. Step 3: Cross multiply
    72,068.25x = 111,972.75 × 111,972.75
  4. Step 4: Simplify right side
    72,068.25x = 12,537,896,742.56
  5. Step 5: Solve for x
    x = 12,537,896,742.56/72,068.25
  6. Step 6: Final answer
    x = 173,972.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.