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Finding the Third Proportional to 4,783.22 and 10,567.97

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Solution

The third proportional to 4,783.22 and 10,567.97 is: 23,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.22 : 10,567.97 = 10,567.97 : x
  2. Step 2: Convert to fraction form
    4,783.22/10,567.97 = 10,567.97/x
  3. Step 3: Cross multiply
    4,783.22x = 10,567.97 × 10,567.97
  4. Step 4: Simplify right side
    4,783.22x = 111,681,963.50
  5. Step 5: Solve for x
    x = 111,681,963.50/4,783.22
  6. Step 6: Final answer
    x = 23,348.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.