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Finding the Third Proportional to 100,400.63 and 218,296.13

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Solution

The third proportional to 100,400.63 and 218,296.13 is: 474,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,400.63 : 218,296.13 = 218,296.13 : x
  2. Step 2: Convert to fraction form
    100,400.63/218,296.13 = 218,296.13/x
  3. Step 3: Cross multiply
    100,400.63x = 218,296.13 × 218,296.13
  4. Step 4: Simplify right side
    100,400.63x = 47,653,198,190.02
  5. Step 5: Solve for x
    x = 47,653,198,190.02/100,400.63
  6. Step 6: Final answer
    x = 474,630.49

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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.