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Finding the Third Proportional to 73,068.75 and 109,613.25

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Solution

The third proportional to 73,068.75 and 109,613.25 is: 164,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,068.75 : 109,613.25 = 109,613.25 : x
  2. Step 2: Convert to fraction form
    73,068.75/109,613.25 = 109,613.25/x
  3. Step 3: Cross multiply
    73,068.75x = 109,613.25 × 109,613.25
  4. Step 4: Simplify right side
    73,068.75x = 12,015,064,575.56
  5. Step 5: Solve for x
    x = 12,015,064,575.56/73,068.75
  6. Step 6: Final answer
    x = 164,435.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.