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Finding the Third Proportional to 284,399 and 603,789

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Solution

The third proportional to 284,399 and 603,789 is: 1,281,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,399 : 603,789 = 603,789 : x
  2. Step 2: Convert to fraction form
    284,399/603,789 = 603,789/x
  3. Step 3: Cross multiply
    284,399x = 603,789 × 603,789
  4. Step 4: Simplify right side
    284,399x = 364,561,156,521
  5. Step 5: Solve for x
    x = 364,561,156,521/284,399
  6. Step 6: Final answer
    x = 1,281,865.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.