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Finding the Third Proportional to 3,412.13 and 3,970.27

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Solution

The third proportional to 3,412.13 and 3,970.27 is: 4,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.13 : 3,970.27 = 3,970.27 : x
  2. Step 2: Convert to fraction form
    3,412.13/3,970.27 = 3,970.27/x
  3. Step 3: Cross multiply
    3,412.13x = 3,970.27 × 3,970.27
  4. Step 4: Simplify right side
    3,412.13x = 15,763,009.13
  5. Step 5: Solve for x
    x = 15,763,009.13/3,412.13
  6. Step 6: Final answer
    x = 4,619.70

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.