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Finding the Third Proportional to 284,267 and 618,646

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Solution

The third proportional to 284,267 and 618,646 is: 1,346,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,267 : 618,646 = 618,646 : x
  2. Step 2: Convert to fraction form
    284,267/618,646 = 618,646/x
  3. Step 3: Cross multiply
    284,267x = 618,646 × 618,646
  4. Step 4: Simplify right side
    284,267x = 382,722,873,316
  5. Step 5: Solve for x
    x = 382,722,873,316/284,267
  6. Step 6: Final answer
    x = 1,346,349.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.