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Finding the Third Proportional to 284,703 and 436,569

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Solution

The third proportional to 284,703 and 436,569 is: 669,443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,703 : 436,569 = 436,569 : x
  2. Step 2: Convert to fraction form
    284,703/436,569 = 436,569/x
  3. Step 3: Cross multiply
    284,703x = 436,569 × 436,569
  4. Step 4: Simplify right side
    284,703x = 190,592,491,761
  5. Step 5: Solve for x
    x = 190,592,491,761/284,703
  6. Step 6: Final answer
    x = 669,443.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.