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Finding the Third Proportional to 10,140 and 22,278

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Solution

The third proportional to 10,140 and 22,278 is: 48,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140 : 22,278 = 22,278 : x
  2. Step 2: Convert to fraction form
    10,140/22,278 = 22,278/x
  3. Step 3: Cross multiply
    10,140x = 22,278 × 22,278
  4. Step 4: Simplify right side
    10,140x = 496,309,284
  5. Step 5: Solve for x
    x = 496,309,284/10,140
  6. Step 6: Final answer
    x = 48,945.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.