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Finding the Third Proportional to 632.81 and 969.47

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Solution

The third proportional to 632.81 and 969.47 is: 1,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.81 : 969.47 = 969.47 : x
  2. Step 2: Convert to fraction form
    632.81/969.47 = 969.47/x
  3. Step 3: Cross multiply
    632.81x = 969.47 × 969.47
  4. Step 4: Simplify right side
    632.81x = 939,869.66
  5. Step 5: Solve for x
    x = 939,869.66/632.81
  6. Step 6: Final answer
    x = 1,485.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.