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Finding the Third Proportional to 288,878 and 644,142

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Solution

The third proportional to 288,878 and 644,142 is: 1,436,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,878 : 644,142 = 644,142 : x
  2. Step 2: Convert to fraction form
    288,878/644,142 = 644,142/x
  3. Step 3: Cross multiply
    288,878x = 644,142 × 644,142
  4. Step 4: Simplify right side
    288,878x = 414,918,916,164
  5. Step 5: Solve for x
    x = 414,918,916,164/288,878
  6. Step 6: Final answer
    x = 1,436,311.92

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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.