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Finding the Third Proportional to 661.50 and 990.42

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Solution

The third proportional to 661.50 and 990.42 is: 1,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 990.42 = 990.42 : x
  2. Step 2: Convert to fraction form
    661.50/990.42 = 990.42/x
  3. Step 3: Cross multiply
    661.50x = 990.42 × 990.42
  4. Step 4: Simplify right side
    661.50x = 980,935.49
  5. Step 5: Solve for x
    x = 980,935.49/661.50
  6. Step 6: Final answer
    x = 1,482.90

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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.