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Finding the Third Proportional to 689.77 and 1,035.28

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Solution

The third proportional to 689.77 and 1,035.28 is: 1,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.77 : 1,035.28 = 1,035.28 : x
  2. Step 2: Convert to fraction form
    689.77/1,035.28 = 1,035.28/x
  3. Step 3: Cross multiply
    689.77x = 1,035.28 × 1,035.28
  4. Step 4: Simplify right side
    689.77x = 1,071,807.27
  5. Step 5: Solve for x
    x = 1,071,807.27/689.77
  6. Step 6: Final answer
    x = 1,553.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.