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Finding the Third Proportional to 295,342 and 644,137

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Solution

The third proportional to 295,342 and 644,137 is: 1,404,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,342 : 644,137 = 644,137 : x
  2. Step 2: Convert to fraction form
    295,342/644,137 = 644,137/x
  3. Step 3: Cross multiply
    295,342x = 644,137 × 644,137
  4. Step 4: Simplify right side
    295,342x = 414,912,474,769
  5. Step 5: Solve for x
    x = 414,912,474,769/295,342
  6. Step 6: Final answer
    x = 1,404,854.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.