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Finding the Third Proportional to 648,516.38 and 923,821.88

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Solution

The third proportional to 648,516.38 and 923,821.88 is: 1,315,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,516.38 : 923,821.88 = 923,821.88 : x
  2. Step 2: Convert to fraction form
    648,516.38/923,821.88 = 923,821.88/x
  3. Step 3: Cross multiply
    648,516.38x = 923,821.88 × 923,821.88
  4. Step 4: Simplify right side
    648,516.38x = 853,446,856,728.52
  5. Step 5: Solve for x
    x = 853,446,856,728.52/648,516.38
  6. Step 6: Final answer
    x = 1,315,998.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.