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Finding the Third Proportional to 640.93 and 959.98

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Solution

The third proportional to 640.93 and 959.98 is: 1,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.93 : 959.98 = 959.98 : x
  2. Step 2: Convert to fraction form
    640.93/959.98 = 959.98/x
  3. Step 3: Cross multiply
    640.93x = 959.98 × 959.98
  4. Step 4: Simplify right side
    640.93x = 921,555.00
  5. Step 5: Solve for x
    x = 921,555.00/640.93
  6. Step 6: Final answer
    x = 1,437.83

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