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Finding the Third Proportional to 284,211 and 611,406

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Solution

The third proportional to 284,211 and 611,406 is: 1,315,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,211 : 611,406 = 611,406 : x
  2. Step 2: Convert to fraction form
    284,211/611,406 = 611,406/x
  3. Step 3: Cross multiply
    284,211x = 611,406 × 611,406
  4. Step 4: Simplify right side
    284,211x = 373,817,296,836
  5. Step 5: Solve for x
    x = 373,817,296,836/284,211
  6. Step 6: Final answer
    x = 1,315,280.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.