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Finding the Third Proportional to 628.81 and 1,365.66

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Solution

The third proportional to 628.81 and 1,365.66 is: 2,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.81 : 1,365.66 = 1,365.66 : x
  2. Step 2: Convert to fraction form
    628.81/1,365.66 = 1,365.66/x
  3. Step 3: Cross multiply
    628.81x = 1,365.66 × 1,365.66
  4. Step 4: Simplify right side
    628.81x = 1,865,023.99
  5. Step 5: Solve for x
    x = 1,865,023.99/628.81
  6. Step 6: Final answer
    x = 2,965.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.