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Finding the Third Proportional to 302,404 and 644,552

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Solution

The third proportional to 302,404 and 644,552 is: 1,373,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,404 : 644,552 = 644,552 : x
  2. Step 2: Convert to fraction form
    302,404/644,552 = 644,552/x
  3. Step 3: Cross multiply
    302,404x = 644,552 × 644,552
  4. Step 4: Simplify right side
    302,404x = 415,447,280,704
  5. Step 5: Solve for x
    x = 415,447,280,704/302,404
  6. Step 6: Final answer
    x = 1,373,815.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.