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Finding the Third Proportional to 2,230.13 and 3,970.31

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Solution

The third proportional to 2,230.13 and 3,970.31 is: 7,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.13 : 3,970.31 = 3,970.31 : x
  2. Step 2: Convert to fraction form
    2,230.13/3,970.31 = 3,970.31/x
  3. Step 3: Cross multiply
    2,230.13x = 3,970.31 × 3,970.31
  4. Step 4: Simplify right side
    2,230.13x = 15,763,381.35
  5. Step 5: Solve for x
    x = 15,763,381.35/2,230.13
  6. Step 6: Final answer
    x = 7,068.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.