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Finding the Third Proportional to 891.98 and 1,376.30

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Solution

The third proportional to 891.98 and 1,376.30 is: 2,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.98 : 1,376.30 = 1,376.30 : x
  2. Step 2: Convert to fraction form
    891.98/1,376.30 = 1,376.30/x
  3. Step 3: Cross multiply
    891.98x = 1,376.30 × 1,376.30
  4. Step 4: Simplify right side
    891.98x = 1,894,193.09
  5. Step 5: Solve for x
    x = 1,894,193.09/891.98
  6. Step 6: Final answer
    x = 2,123.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.