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Finding the Third Proportional to 400,846 and 644,712

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Solution

The third proportional to 400,846 and 644,712 is: 1,036,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,846 : 644,712 = 644,712 : x
  2. Step 2: Convert to fraction form
    400,846/644,712 = 644,712/x
  3. Step 3: Cross multiply
    400,846x = 644,712 × 644,712
  4. Step 4: Simplify right side
    400,846x = 415,653,562,944
  5. Step 5: Solve for x
    x = 415,653,562,944/400,846
  6. Step 6: Final answer
    x = 1,036,940.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.