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Finding the Third Proportional to 95,010 and 200,748

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Solution

The third proportional to 95,010 and 200,748 is: 424,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,010 : 200,748 = 200,748 : x
  2. Step 2: Convert to fraction form
    95,010/200,748 = 200,748/x
  3. Step 3: Cross multiply
    95,010x = 200,748 × 200,748
  4. Step 4: Simplify right side
    95,010x = 40,299,759,504
  5. Step 5: Solve for x
    x = 40,299,759,504/95,010
  6. Step 6: Final answer
    x = 424,163.35

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