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Finding the Third Proportional to 9,628.88 and 14,576.20

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Solution

The third proportional to 9,628.88 and 14,576.20 is: 22,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.88 : 14,576.20 = 14,576.20 : x
  2. Step 2: Convert to fraction form
    9,628.88/14,576.20 = 14,576.20/x
  3. Step 3: Cross multiply
    9,628.88x = 14,576.20 × 14,576.20
  4. Step 4: Simplify right side
    9,628.88x = 212,465,697.54
  5. Step 5: Solve for x
    x = 212,465,697.54/9,628.88
  6. Step 6: Final answer
    x = 22,065.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.