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Finding the Third Proportional to 298,680 and 644,859

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Solution

The third proportional to 298,680 and 644,859 is: 1,392,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,680 : 644,859 = 644,859 : x
  2. Step 2: Convert to fraction form
    298,680/644,859 = 644,859/x
  3. Step 3: Cross multiply
    298,680x = 644,859 × 644,859
  4. Step 4: Simplify right side
    298,680x = 415,843,129,881
  5. Step 5: Solve for x
    x = 415,843,129,881/298,680
  6. Step 6: Final answer
    x = 1,392,269.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.