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Finding the Third Proportional to 410,974.88 and 644,860.69

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Solution

The third proportional to 410,974.88 and 644,860.69 is: 1,011,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,974.88 : 644,860.69 = 644,860.69 : x
  2. Step 2: Convert to fraction form
    410,974.88/644,860.69 = 644,860.69/x
  3. Step 3: Cross multiply
    410,974.88x = 644,860.69 × 644,860.69
  4. Step 4: Simplify right side
    410,974.88x = 415,845,306,282.97
  5. Step 5: Solve for x
    x = 415,845,306,282.97/410,974.88
  6. Step 6: Final answer
    x = 1,011,850.92

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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.