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Finding the Third Proportional to 10,778 and 22,580

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Solution

The third proportional to 10,778 and 22,580 is: 47,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778 : 22,580 = 22,580 : x
  2. Step 2: Convert to fraction form
    10,778/22,580 = 22,580/x
  3. Step 3: Cross multiply
    10,778x = 22,580 × 22,580
  4. Step 4: Simplify right side
    10,778x = 509,856,400
  5. Step 5: Solve for x
    x = 509,856,400/10,778
  6. Step 6: Final answer
    x = 47,305.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.