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Finding the Third Proportional to 298,677.38 and 644,898.38

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Solution

The third proportional to 298,677.38 and 644,898.38 is: 1,392,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,677.38 : 644,898.38 = 644,898.38 : x
  2. Step 2: Convert to fraction form
    298,677.38/644,898.38 = 644,898.38/x
  3. Step 3: Cross multiply
    298,677.38x = 644,898.38 × 644,898.38
  4. Step 4: Simplify right side
    298,677.38x = 415,893,914,077.64
  5. Step 5: Solve for x
    x = 415,893,914,077.64/298,677.38
  6. Step 6: Final answer
    x = 1,392,452.02

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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.