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Finding the Third Proportional to 642.94 and 967.36

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Solution

The third proportional to 642.94 and 967.36 is: 1,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 967.36 = 967.36 : x
  2. Step 2: Convert to fraction form
    642.94/967.36 = 967.36/x
  3. Step 3: Cross multiply
    642.94x = 967.36 × 967.36
  4. Step 4: Simplify right side
    642.94x = 935,784.16
  5. Step 5: Solve for x
    x = 935,784.16/642.94
  6. Step 6: Final answer
    x = 1,455.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.