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Finding the Third Proportional to 3,066.42 and 4,587.42

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Solution

The third proportional to 3,066.42 and 4,587.42 is: 6,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.42 : 4,587.42 = 4,587.42 : x
  2. Step 2: Convert to fraction form
    3,066.42/4,587.42 = 4,587.42/x
  3. Step 3: Cross multiply
    3,066.42x = 4,587.42 × 4,587.42
  4. Step 4: Simplify right side
    3,066.42x = 21,044,439.46
  5. Step 5: Solve for x
    x = 21,044,439.46/3,066.42
  6. Step 6: Final answer
    x = 6,862.87

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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.