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Finding the Third Proportional to 45,949.50 and 101,211.75

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Solution

The third proportional to 45,949.50 and 101,211.75 is: 222,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,949.50 : 101,211.75 = 101,211.75 : x
  2. Step 2: Convert to fraction form
    45,949.50/101,211.75 = 101,211.75/x
  3. Step 3: Cross multiply
    45,949.50x = 101,211.75 × 101,211.75
  4. Step 4: Simplify right side
    45,949.50x = 10,243,818,338.06
  5. Step 5: Solve for x
    x = 10,243,818,338.06/45,949.50
  6. Step 6: Final answer
    x = 222,936.45

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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.