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Finding the Third Proportional to 47,044.50 and 100,563

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Solution

The third proportional to 47,044.50 and 100,563 is: 214,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,044.50 : 100,563 = 100,563 : x
  2. Step 2: Convert to fraction form
    47,044.50/100,563 = 100,563/x
  3. Step 3: Cross multiply
    47,044.50x = 100,563 × 100,563
  4. Step 4: Simplify right side
    47,044.50x = 10,112,916,969
  5. Step 5: Solve for x
    x = 10,112,916,969/47,044.50
  6. Step 6: Final answer
    x = 214,964.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.