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Finding the Third Proportional to 407.21 and 891.32

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Solution

The third proportional to 407.21 and 891.32 is: 1,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.21 : 891.32 = 891.32 : x
  2. Step 2: Convert to fraction form
    407.21/891.32 = 891.32/x
  3. Step 3: Cross multiply
    407.21x = 891.32 × 891.32
  4. Step 4: Simplify right side
    407.21x = 794,444.94
  5. Step 5: Solve for x
    x = 794,444.94/407.21
  6. Step 6: Final answer
    x = 1,950.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.