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Finding the Third Proportional to 689.34 and 1,301.48

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Solution

The third proportional to 689.34 and 1,301.48 is: 2,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.34 : 1,301.48 = 1,301.48 : x
  2. Step 2: Convert to fraction form
    689.34/1,301.48 = 1,301.48/x
  3. Step 3: Cross multiply
    689.34x = 1,301.48 × 1,301.48
  4. Step 4: Simplify right side
    689.34x = 1,693,861.58
  5. Step 5: Solve for x
    x = 1,693,861.58/689.34
  6. Step 6: Final answer
    x = 2,457.21

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.