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Finding the Third Proportional to 291.66 and 630.42

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Solution

The third proportional to 291.66 and 630.42 is: 1,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.66 : 630.42 = 630.42 : x
  2. Step 2: Convert to fraction form
    291.66/630.42 = 630.42/x
  3. Step 3: Cross multiply
    291.66x = 630.42 × 630.42
  4. Step 4: Simplify right side
    291.66x = 397,431.74
  5. Step 5: Solve for x
    x = 397,431.74/291.66
  6. Step 6: Final answer
    x = 1,362.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.