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Finding the Third Proportional to 689.13 and 1,020.41

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Solution

The third proportional to 689.13 and 1,020.41 is: 1,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.13 : 1,020.41 = 1,020.41 : x
  2. Step 2: Convert to fraction form
    689.13/1,020.41 = 1,020.41/x
  3. Step 3: Cross multiply
    689.13x = 1,020.41 × 1,020.41
  4. Step 4: Simplify right side
    689.13x = 1,041,236.89
  5. Step 5: Solve for x
    x = 1,041,236.89/689.13
  6. Step 6: Final answer
    x = 1,510.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.