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Finding the Third Proportional to 4,628.39 and 9,872.72

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Solution

The third proportional to 4,628.39 and 9,872.72 is: 21,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.39 : 9,872.72 = 9,872.72 : x
  2. Step 2: Convert to fraction form
    4,628.39/9,872.72 = 9,872.72/x
  3. Step 3: Cross multiply
    4,628.39x = 9,872.72 × 9,872.72
  4. Step 4: Simplify right side
    4,628.39x = 97,470,575.52
  5. Step 5: Solve for x
    x = 97,470,575.52/4,628.39
  6. Step 6: Final answer
    x = 21,059.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.