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Finding the Third Proportional to 3,970.97 and 8,487.28

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Solution

The third proportional to 3,970.97 and 8,487.28 is: 18,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.97 : 8,487.28 = 8,487.28 : x
  2. Step 2: Convert to fraction form
    3,970.97/8,487.28 = 8,487.28/x
  3. Step 3: Cross multiply
    3,970.97x = 8,487.28 × 8,487.28
  4. Step 4: Simplify right side
    3,970.97x = 72,033,943.02
  5. Step 5: Solve for x
    x = 72,033,943.02/3,970.97
  6. Step 6: Final answer
    x = 18,140.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.