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Finding the Third Proportional to 218,976 and 475,132

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Solution

The third proportional to 218,976 and 475,132 is: 1,030,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,976 : 475,132 = 475,132 : x
  2. Step 2: Convert to fraction form
    218,976/475,132 = 475,132/x
  3. Step 3: Cross multiply
    218,976x = 475,132 × 475,132
  4. Step 4: Simplify right side
    218,976x = 225,750,417,424
  5. Step 5: Solve for x
    x = 225,750,417,424/218,976
  6. Step 6: Final answer
    x = 1,030,936.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.