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Finding the Third Proportional to 658.50 and 1,335.94

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Solution

The third proportional to 658.50 and 1,335.94 is: 2,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.50 : 1,335.94 = 1,335.94 : x
  2. Step 2: Convert to fraction form
    658.50/1,335.94 = 1,335.94/x
  3. Step 3: Cross multiply
    658.50x = 1,335.94 × 1,335.94
  4. Step 4: Simplify right side
    658.50x = 1,784,729.00
  5. Step 5: Solve for x
    x = 1,784,729.00/658.50
  6. Step 6: Final answer
    x = 2,710.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.