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Finding the Third Proportional to 1,439.86 and 2,971.27

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Solution

The third proportional to 1,439.86 and 2,971.27 is: 6,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.86 : 2,971.27 = 2,971.27 : x
  2. Step 2: Convert to fraction form
    1,439.86/2,971.27 = 2,971.27/x
  3. Step 3: Cross multiply
    1,439.86x = 2,971.27 × 2,971.27
  4. Step 4: Simplify right side
    1,439.86x = 8,828,419.41
  5. Step 5: Solve for x
    x = 8,828,419.41/1,439.86
  6. Step 6: Final answer
    x = 6,131.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.