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Finding the Third Proportional to 410,984 and 644,874

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Solution

The third proportional to 410,984 and 644,874 is: 1,011,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,984 : 644,874 = 644,874 : x
  2. Step 2: Convert to fraction form
    410,984/644,874 = 644,874/x
  3. Step 3: Cross multiply
    410,984x = 644,874 × 644,874
  4. Step 4: Simplify right side
    410,984x = 415,862,475,876
  5. Step 5: Solve for x
    x = 415,862,475,876/410,984
  6. Step 6: Final answer
    x = 1,011,870.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.