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Finding the Third Proportional to 312,631 and 484,392

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Solution

The third proportional to 312,631 and 484,392 is: 750,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,631 : 484,392 = 484,392 : x
  2. Step 2: Convert to fraction form
    312,631/484,392 = 484,392/x
  3. Step 3: Cross multiply
    312,631x = 484,392 × 484,392
  4. Step 4: Simplify right side
    312,631x = 234,635,609,664
  5. Step 5: Solve for x
    x = 234,635,609,664/312,631
  6. Step 6: Final answer
    x = 750,519.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.