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Finding the Third Proportional to 44,248 and 95,533

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Solution

The third proportional to 44,248 and 95,533 is: 206,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,248 : 95,533 = 95,533 : x
  2. Step 2: Convert to fraction form
    44,248/95,533 = 95,533/x
  3. Step 3: Cross multiply
    44,248x = 95,533 × 95,533
  4. Step 4: Simplify right side
    44,248x = 9,126,554,089
  5. Step 5: Solve for x
    x = 9,126,554,089/44,248
  6. Step 6: Final answer
    x = 206,259.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.