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Finding the Third Proportional to 288,815 and 644,037

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Solution

The third proportional to 288,815 and 644,037 is: 1,436,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,815 : 644,037 = 644,037 : x
  2. Step 2: Convert to fraction form
    288,815/644,037 = 644,037/x
  3. Step 3: Cross multiply
    288,815x = 644,037 × 644,037
  4. Step 4: Simplify right side
    288,815x = 414,783,657,369
  5. Step 5: Solve for x
    x = 414,783,657,369/288,815
  6. Step 6: Final answer
    x = 1,436,156.91

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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.