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Finding the Third Proportional to 640.13 and 990.84

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Solution

The third proportional to 640.13 and 990.84 is: 1,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.13 : 990.84 = 990.84 : x
  2. Step 2: Convert to fraction form
    640.13/990.84 = 990.84/x
  3. Step 3: Cross multiply
    640.13x = 990.84 × 990.84
  4. Step 4: Simplify right side
    640.13x = 981,771.34
  5. Step 5: Solve for x
    x = 981,771.34/640.13
  6. Step 6: Final answer
    x = 1,533.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.