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Finding the Third Proportional to 4,576.64 and 9,988.59

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Solution

The third proportional to 4,576.64 and 9,988.59 is: 21,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.64 : 9,988.59 = 9,988.59 : x
  2. Step 2: Convert to fraction form
    4,576.64/9,988.59 = 9,988.59/x
  3. Step 3: Cross multiply
    4,576.64x = 9,988.59 × 9,988.59
  4. Step 4: Simplify right side
    4,576.64x = 99,772,005.10
  5. Step 5: Solve for x
    x = 99,772,005.10/4,576.64
  6. Step 6: Final answer
    x = 21,800.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.