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Finding the Third Proportional to 762.75 and 990.14

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Solution

The third proportional to 762.75 and 990.14 is: 1,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.75 : 990.14 = 990.14 : x
  2. Step 2: Convert to fraction form
    762.75/990.14 = 990.14/x
  3. Step 3: Cross multiply
    762.75x = 990.14 × 990.14
  4. Step 4: Simplify right side
    762.75x = 980,378.46
  5. Step 5: Solve for x
    x = 980,378.46/762.75
  6. Step 6: Final answer
    x = 1,285.32

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.