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Finding the Third Proportional to 9,576 and 22,578.75

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Solution

The third proportional to 9,576 and 22,578.75 is: 53,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 22,578.75 = 22,578.75 : x
  2. Step 2: Convert to fraction form
    9,576/22,578.75 = 22,578.75/x
  3. Step 3: Cross multiply
    9,576x = 22,578.75 × 22,578.75
  4. Step 4: Simplify right side
    9,576x = 509,799,951.56
  5. Step 5: Solve for x
    x = 509,799,951.56/9,576
  6. Step 6: Final answer
    x = 53,237.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.