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Finding the Third Proportional to 421.77 and 891.32

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Solution

The third proportional to 421.77 and 891.32 is: 1,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.77 : 891.32 = 891.32 : x
  2. Step 2: Convert to fraction form
    421.77/891.32 = 891.32/x
  3. Step 3: Cross multiply
    421.77x = 891.32 × 891.32
  4. Step 4: Simplify right side
    421.77x = 794,444.94
  5. Step 5: Solve for x
    x = 794,444.94/421.77
  6. Step 6: Final answer
    x = 1,883.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.