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Finding the Third Proportional to 1,370.39 and 2,971.41

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Solution

The third proportional to 1,370.39 and 2,971.41 is: 6,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.39 : 2,971.41 = 2,971.41 : x
  2. Step 2: Convert to fraction form
    1,370.39/2,971.41 = 2,971.41/x
  3. Step 3: Cross multiply
    1,370.39x = 2,971.41 × 2,971.41
  4. Step 4: Simplify right side
    1,370.39x = 8,829,255.10
  5. Step 5: Solve for x
    x = 8,829,255.10/1,370.39
  6. Step 6: Final answer
    x = 6,442.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.