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Finding the Third Proportional to 103,203 and 218,826

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Solution

The third proportional to 103,203 and 218,826 is: 463,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,203 : 218,826 = 218,826 : x
  2. Step 2: Convert to fraction form
    103,203/218,826 = 218,826/x
  3. Step 3: Cross multiply
    103,203x = 218,826 × 218,826
  4. Step 4: Simplify right side
    103,203x = 47,884,818,276
  5. Step 5: Solve for x
    x = 47,884,818,276/103,203
  6. Step 6: Final answer
    x = 463,986.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.