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Finding the Third Proportional to 7,891.59 and 11,970.28

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Solution

The third proportional to 7,891.59 and 11,970.28 is: 18,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.59 : 11,970.28 = 11,970.28 : x
  2. Step 2: Convert to fraction form
    7,891.59/11,970.28 = 11,970.28/x
  3. Step 3: Cross multiply
    7,891.59x = 11,970.28 × 11,970.28
  4. Step 4: Simplify right side
    7,891.59x = 143,287,633.20
  5. Step 5: Solve for x
    x = 143,287,633.20/7,891.59
  6. Step 6: Final answer
    x = 18,157.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.