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Finding the Third Proportional to 284,439 and 609,357

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Solution

The third proportional to 284,439 and 609,357 is: 1,305,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,439 : 609,357 = 609,357 : x
  2. Step 2: Convert to fraction form
    284,439/609,357 = 609,357/x
  3. Step 3: Cross multiply
    284,439x = 609,357 × 609,357
  4. Step 4: Simplify right side
    284,439x = 371,315,953,449
  5. Step 5: Solve for x
    x = 371,315,953,449/284,439
  6. Step 6: Final answer
    x = 1,305,432.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.