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Finding the Third Proportional to 288,816 and 644,040

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Solution

The third proportional to 288,816 and 644,040 is: 1,436,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,816 : 644,040 = 644,040 : x
  2. Step 2: Convert to fraction form
    288,816/644,040 = 644,040/x
  3. Step 3: Cross multiply
    288,816x = 644,040 × 644,040
  4. Step 4: Simplify right side
    288,816x = 414,787,521,600
  5. Step 5: Solve for x
    x = 414,787,521,600/288,816
  6. Step 6: Final answer
    x = 1,436,165.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.