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Finding the Third Proportional to 688.50 and 923.06

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Solution

The third proportional to 688.50 and 923.06 is: 1,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.50 : 923.06 = 923.06 : x
  2. Step 2: Convert to fraction form
    688.50/923.06 = 923.06/x
  3. Step 3: Cross multiply
    688.50x = 923.06 × 923.06
  4. Step 4: Simplify right side
    688.50x = 852,044.38
  5. Step 5: Solve for x
    x = 852,044.38/688.50
  6. Step 6: Final answer
    x = 1,237.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.