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Finding the Third Proportional to 8,491.08 and 19,979.16

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Solution

The third proportional to 8,491.08 and 19,979.16 is: 47,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.08 : 19,979.16 = 19,979.16 : x
  2. Step 2: Convert to fraction form
    8,491.08/19,979.16 = 19,979.16/x
  3. Step 3: Cross multiply
    8,491.08x = 19,979.16 × 19,979.16
  4. Step 4: Simplify right side
    8,491.08x = 399,166,684.46
  5. Step 5: Solve for x
    x = 399,166,684.46/8,491.08
  6. Step 6: Final answer
    x = 47,010.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.