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Finding the Third Proportional to 10,566 and 22,763

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Solution

The third proportional to 10,566 and 22,763 is: 49,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566 : 22,763 = 22,763 : x
  2. Step 2: Convert to fraction form
    10,566/22,763 = 22,763/x
  3. Step 3: Cross multiply
    10,566x = 22,763 × 22,763
  4. Step 4: Simplify right side
    10,566x = 518,154,169
  5. Step 5: Solve for x
    x = 518,154,169/10,566
  6. Step 6: Final answer
    x = 49,039.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.