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Finding the Third Proportional to 4,578.75 and 9,996.38

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Solution

The third proportional to 4,578.75 and 9,996.38 is: 21,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.75 : 9,996.38 = 9,996.38 : x
  2. Step 2: Convert to fraction form
    4,578.75/9,996.38 = 9,996.38/x
  3. Step 3: Cross multiply
    4,578.75x = 9,996.38 × 9,996.38
  4. Step 4: Simplify right side
    4,578.75x = 99,927,513.14
  5. Step 5: Solve for x
    x = 99,927,513.14/4,578.75
  6. Step 6: Final answer
    x = 21,824.19

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1.5x scale

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.