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Finding the Third Proportional to 644,940 and 1,366,712

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Solution

The third proportional to 644,940 and 1,366,712 is: 2,896,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,940 : 1,366,712 = 1,366,712 : x
  2. Step 2: Convert to fraction form
    644,940/1,366,712 = 1,366,712/x
  3. Step 3: Cross multiply
    644,940x = 1,366,712 × 1,366,712
  4. Step 4: Simplify right side
    644,940x = 1,867,901,690,944
  5. Step 5: Solve for x
    x = 1,867,901,690,944/644,940
  6. Step 6: Final answer
    x = 2,896,241.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.