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Finding the Third Proportional to 45,253.50 and 95,532

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Solution

The third proportional to 45,253.50 and 95,532 is: 201,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,253.50 : 95,532 = 95,532 : x
  2. Step 2: Convert to fraction form
    45,253.50/95,532 = 95,532/x
  3. Step 3: Cross multiply
    45,253.50x = 95,532 × 95,532
  4. Step 4: Simplify right side
    45,253.50x = 9,126,363,024
  5. Step 5: Solve for x
    x = 9,126,363,024/45,253.50
  6. Step 6: Final answer
    x = 201,671.98

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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.