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Finding the Third Proportional to 9,547.88 and 20,576.25

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Solution

The third proportional to 9,547.88 and 20,576.25 is: 44,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.88 : 20,576.25 = 20,576.25 : x
  2. Step 2: Convert to fraction form
    9,547.88/20,576.25 = 20,576.25/x
  3. Step 3: Cross multiply
    9,547.88x = 20,576.25 × 20,576.25
  4. Step 4: Simplify right side
    9,547.88x = 423,382,064.06
  5. Step 5: Solve for x
    x = 423,382,064.06/9,547.88
  6. Step 6: Final answer
    x = 44,343.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.