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Finding the Third Proportional to 10,278.94 and 15,376.88

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Solution

The third proportional to 10,278.94 and 15,376.88 is: 23,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.94 : 15,376.88 = 15,376.88 : x
  2. Step 2: Convert to fraction form
    10,278.94/15,376.88 = 15,376.88/x
  3. Step 3: Cross multiply
    10,278.94x = 15,376.88 × 15,376.88
  4. Step 4: Simplify right side
    10,278.94x = 236,448,284.77
  5. Step 5: Solve for x
    x = 236,448,284.77/10,278.94
  6. Step 6: Final answer
    x = 23,003.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.