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Finding the Third Proportional to 688.13 and 946.31

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Solution

The third proportional to 688.13 and 946.31 is: 1,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.13 : 946.31 = 946.31 : x
  2. Step 2: Convert to fraction form
    688.13/946.31 = 946.31/x
  3. Step 3: Cross multiply
    688.13x = 946.31 × 946.31
  4. Step 4: Simplify right side
    688.13x = 895,507.35
  5. Step 5: Solve for x
    x = 895,507.35/688.13
  6. Step 6: Final answer
    x = 1,301.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.