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Finding the Third Proportional to 891.91 and 1,420.43

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Solution

The third proportional to 891.91 and 1,420.43 is: 2,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.91 : 1,420.43 = 1,420.43 : x
  2. Step 2: Convert to fraction form
    891.91/1,420.43 = 1,420.43/x
  3. Step 3: Cross multiply
    891.91x = 1,420.43 × 1,420.43
  4. Step 4: Simplify right side
    891.91x = 2,017,620.50
  5. Step 5: Solve for x
    x = 2,017,620.50/891.91
  6. Step 6: Final answer
    x = 2,262.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.