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Finding the Third Proportional to 854.63 and 1,376.63

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Solution

The third proportional to 854.63 and 1,376.63 is: 2,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.63 : 1,376.63 = 1,376.63 : x
  2. Step 2: Convert to fraction form
    854.63/1,376.63 = 1,376.63/x
  3. Step 3: Cross multiply
    854.63x = 1,376.63 × 1,376.63
  4. Step 4: Simplify right side
    854.63x = 1,895,096.39
  5. Step 5: Solve for x
    x = 1,895,096.39/854.63
  6. Step 6: Final answer
    x = 2,217.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.