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Finding the Third Proportional to 648,512 and 923,818

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Solution

The third proportional to 648,512 and 923,818 is: 1,315,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,512 : 923,818 = 923,818 : x
  2. Step 2: Convert to fraction form
    648,512/923,818 = 923,818/x
  3. Step 3: Cross multiply
    648,512x = 923,818 × 923,818
  4. Step 4: Simplify right side
    648,512x = 853,439,697,124
  5. Step 5: Solve for x
    x = 853,439,697,124/648,512
  6. Step 6: Final answer
    x = 1,315,996.77

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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.