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Finding the Third Proportional to 400,856 and 644,726

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Solution

The third proportional to 400,856 and 644,726 is: 1,036,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,856 : 644,726 = 644,726 : x
  2. Step 2: Convert to fraction form
    400,856/644,726 = 644,726/x
  3. Step 3: Cross multiply
    400,856x = 644,726 × 644,726
  4. Step 4: Simplify right side
    400,856x = 415,671,615,076
  5. Step 5: Solve for x
    x = 415,671,615,076/400,856
  6. Step 6: Final answer
    x = 1,036,959.94

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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.