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Finding the Third Proportional to 9,109.13 and 19,551.38

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Solution

The third proportional to 9,109.13 and 19,551.38 is: 41,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.13 : 19,551.38 = 19,551.38 : x
  2. Step 2: Convert to fraction form
    9,109.13/19,551.38 = 19,551.38/x
  3. Step 3: Cross multiply
    9,109.13x = 19,551.38 × 19,551.38
  4. Step 4: Simplify right side
    9,109.13x = 382,256,264.39
  5. Step 5: Solve for x
    x = 382,256,264.39/9,109.13
  6. Step 6: Final answer
    x = 41,964.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.