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Finding the Third Proportional to 8,476.76 and 12,378.76

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Solution

The third proportional to 8,476.76 and 12,378.76 is: 18,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.76 : 12,378.76 = 12,378.76 : x
  2. Step 2: Convert to fraction form
    8,476.76/12,378.76 = 12,378.76/x
  3. Step 3: Cross multiply
    8,476.76x = 12,378.76 × 12,378.76
  4. Step 4: Simplify right side
    8,476.76x = 153,233,741.69
  5. Step 5: Solve for x
    x = 153,233,741.69/8,476.76
  6. Step 6: Final answer
    x = 18,076.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.