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Finding the Third Proportional to 689.81 and 1,626.94

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Solution

The third proportional to 689.81 and 1,626.94 is: 3,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.81 : 1,626.94 = 1,626.94 : x
  2. Step 2: Convert to fraction form
    689.81/1,626.94 = 1,626.94/x
  3. Step 3: Cross multiply
    689.81x = 1,626.94 × 1,626.94
  4. Step 4: Simplify right side
    689.81x = 2,646,925.63
  5. Step 5: Solve for x
    x = 2,646,925.63/689.81
  6. Step 6: Final answer
    x = 3,837.17

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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.