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Finding the Third Proportional to 639,744 and 1,377,903

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Solution

The third proportional to 639,744 and 1,377,903 is: 2,967,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,744 : 1,377,903 = 1,377,903 : x
  2. Step 2: Convert to fraction form
    639,744/1,377,903 = 1,377,903/x
  3. Step 3: Cross multiply
    639,744x = 1,377,903 × 1,377,903
  4. Step 4: Simplify right side
    639,744x = 1,898,616,677,409
  5. Step 5: Solve for x
    x = 1,898,616,677,409/639,744
  6. Step 6: Final answer
    x = 2,967,775.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.