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Finding the Third Proportional to 10,770 and 23,796

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Solution

The third proportional to 10,770 and 23,796 is: 52,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770 : 23,796 = 23,796 : x
  2. Step 2: Convert to fraction form
    10,770/23,796 = 23,796/x
  3. Step 3: Cross multiply
    10,770x = 23,796 × 23,796
  4. Step 4: Simplify right side
    10,770x = 566,249,616
  5. Step 5: Solve for x
    x = 566,249,616/10,770
  6. Step 6: Final answer
    x = 52,576.57

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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.