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Finding the Third Proportional to 1,421.88 and 3,074.97

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Solution

The third proportional to 1,421.88 and 3,074.97 is: 6,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.88 : 3,074.97 = 3,074.97 : x
  2. Step 2: Convert to fraction form
    1,421.88/3,074.97 = 3,074.97/x
  3. Step 3: Cross multiply
    1,421.88x = 3,074.97 × 3,074.97
  4. Step 4: Simplify right side
    1,421.88x = 9,455,432.81
  5. Step 5: Solve for x
    x = 9,455,432.81/1,421.88
  6. Step 6: Final answer
    x = 6,649.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.