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Finding the Third Proportional to 95,256 and 143,748

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Solution

The third proportional to 95,256 and 143,748 is: 216,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,256 : 143,748 = 143,748 : x
  2. Step 2: Convert to fraction form
    95,256/143,748 = 143,748/x
  3. Step 3: Cross multiply
    95,256x = 143,748 × 143,748
  4. Step 4: Simplify right side
    95,256x = 20,663,487,504
  5. Step 5: Solve for x
    x = 20,663,487,504/95,256
  6. Step 6: Final answer
    x = 216,925.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.