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Finding the Third Proportional to 45,236 and 95,575.50

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Solution

The third proportional to 45,236 and 95,575.50 is: 201,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,236 : 95,575.50 = 95,575.50 : x
  2. Step 2: Convert to fraction form
    45,236/95,575.50 = 95,575.50/x
  3. Step 3: Cross multiply
    45,236x = 95,575.50 × 95,575.50
  4. Step 4: Simplify right side
    45,236x = 9,134,676,200.25
  5. Step 5: Solve for x
    x = 9,134,676,200.25/45,236
  6. Step 6: Final answer
    x = 201,933.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.