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Finding the Third Proportional to 286,864 and 624,393

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Solution

The third proportional to 286,864 and 624,393 is: 1,359,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,864 : 624,393 = 624,393 : x
  2. Step 2: Convert to fraction form
    286,864/624,393 = 624,393/x
  3. Step 3: Cross multiply
    286,864x = 624,393 × 624,393
  4. Step 4: Simplify right side
    286,864x = 389,866,618,449
  5. Step 5: Solve for x
    x = 389,866,618,449/286,864
  6. Step 6: Final answer
    x = 1,359,064.29

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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.