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Finding the Third Proportional to 626.81 and 1,480.13

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Solution

The third proportional to 626.81 and 1,480.13 is: 3,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.81 : 1,480.13 = 1,480.13 : x
  2. Step 2: Convert to fraction form
    626.81/1,480.13 = 1,480.13/x
  3. Step 3: Cross multiply
    626.81x = 1,480.13 × 1,480.13
  4. Step 4: Simplify right side
    626.81x = 2,190,770.02
  5. Step 5: Solve for x
    x = 2,190,770.02/626.81
  6. Step 6: Final answer
    x = 3,495.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.