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Finding the Third Proportional to 421.92 and 985.55

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Solution

The third proportional to 421.92 and 985.55 is: 2,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 985.55 = 985.55 : x
  2. Step 2: Convert to fraction form
    421.92/985.55 = 985.55/x
  3. Step 3: Cross multiply
    421.92x = 985.55 × 985.55
  4. Step 4: Simplify right side
    421.92x = 971,302.64
  5. Step 5: Solve for x
    x = 971,302.64/421.92
  6. Step 6: Final answer
    x = 2,302.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.