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Finding the Third Proportional to 419,052 and 648,732

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Solution

The third proportional to 419,052 and 648,732 is: 1,004,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,052 : 648,732 = 648,732 : x
  2. Step 2: Convert to fraction form
    419,052/648,732 = 648,732/x
  3. Step 3: Cross multiply
    419,052x = 648,732 × 648,732
  4. Step 4: Simplify right side
    419,052x = 420,853,207,824
  5. Step 5: Solve for x
    x = 420,853,207,824/419,052
  6. Step 6: Final answer
    x = 1,004,298.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.