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Finding the Third Proportional to 400,844 and 644,709

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Solution

The third proportional to 400,844 and 644,709 is: 1,036,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,844 : 644,709 = 644,709 : x
  2. Step 2: Convert to fraction form
    400,844/644,709 = 644,709/x
  3. Step 3: Cross multiply
    400,844x = 644,709 × 644,709
  4. Step 4: Simplify right side
    400,844x = 415,649,694,681
  5. Step 5: Solve for x
    x = 415,649,694,681/400,844
  6. Step 6: Final answer
    x = 1,036,936.30

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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.