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Finding the Third Proportional to 688.97 and 1,433.63

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Solution

The third proportional to 688.97 and 1,433.63 is: 2,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.97 : 1,433.63 = 1,433.63 : x
  2. Step 2: Convert to fraction form
    688.97/1,433.63 = 1,433.63/x
  3. Step 3: Cross multiply
    688.97x = 1,433.63 × 1,433.63
  4. Step 4: Simplify right side
    688.97x = 2,055,280.64
  5. Step 5: Solve for x
    x = 2,055,280.64/688.97
  6. Step 6: Final answer
    x = 2,983.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.