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Finding the Third Proportional to 9,699.12 and 19,806.40

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Solution

The third proportional to 9,699.12 and 19,806.40 is: 40,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.12 : 19,806.40 = 19,806.40 : x
  2. Step 2: Convert to fraction form
    9,699.12/19,806.40 = 19,806.40/x
  3. Step 3: Cross multiply
    9,699.12x = 19,806.40 × 19,806.40
  4. Step 4: Simplify right side
    9,699.12x = 392,293,419.07
  5. Step 5: Solve for x
    x = 392,293,419.07/9,699.12
  6. Step 6: Final answer
    x = 40,446.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.