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Finding the Third Proportional to 43,872 and 69,276

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Solution

The third proportional to 43,872 and 69,276 is: 109,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,872 : 69,276 = 69,276 : x
  2. Step 2: Convert to fraction form
    43,872/69,276 = 69,276/x
  3. Step 3: Cross multiply
    43,872x = 69,276 × 69,276
  4. Step 4: Simplify right side
    43,872x = 4,799,164,176
  5. Step 5: Solve for x
    x = 4,799,164,176/43,872
  6. Step 6: Final answer
    x = 109,390.14

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.