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Finding the Third Proportional to 421.93 and 981.49

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Solution

The third proportional to 421.93 and 981.49 is: 2,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.93 : 981.49 = 981.49 : x
  2. Step 2: Convert to fraction form
    421.93/981.49 = 981.49/x
  3. Step 3: Cross multiply
    421.93x = 981.49 × 981.49
  4. Step 4: Simplify right side
    421.93x = 963,326.91
  5. Step 5: Solve for x
    x = 963,326.91/421.93
  6. Step 6: Final answer
    x = 2,283.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.