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Finding the Third Proportional to 688,638 and 923,607

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Solution

The third proportional to 688,638 and 923,607 is: 1,238,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,638 : 923,607 = 923,607 : x
  2. Step 2: Convert to fraction form
    688,638/923,607 = 923,607/x
  3. Step 3: Cross multiply
    688,638x = 923,607 × 923,607
  4. Step 4: Simplify right side
    688,638x = 853,049,890,449
  5. Step 5: Solve for x
    x = 853,049,890,449/688,638
  6. Step 6: Final answer
    x = 1,238,749.37

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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.