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Finding the Third Proportional to 49,553.25 and 105,510

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Solution

The third proportional to 49,553.25 and 105,510 is: 224,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,553.25 : 105,510 = 105,510 : x
  2. Step 2: Convert to fraction form
    49,553.25/105,510 = 105,510/x
  3. Step 3: Cross multiply
    49,553.25x = 105,510 × 105,510
  4. Step 4: Simplify right side
    49,553.25x = 11,132,360,100
  5. Step 5: Solve for x
    x = 11,132,360,100/49,553.25
  6. Step 6: Final answer
    x = 224,654.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.