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Finding the Third Proportional to 421.31 and 921.94

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Solution

The third proportional to 421.31 and 921.94 is: 2,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.31 : 921.94 = 921.94 : x
  2. Step 2: Convert to fraction form
    421.31/921.94 = 921.94/x
  3. Step 3: Cross multiply
    421.31x = 921.94 × 921.94
  4. Step 4: Simplify right side
    421.31x = 849,968.75
  5. Step 5: Solve for x
    x = 849,968.75/421.31
  6. Step 6: Final answer
    x = 2,017.43

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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.