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Finding the Third Proportional to 101,356 and 218,272

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Solution

The third proportional to 101,356 and 218,272 is: 470,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,356 : 218,272 = 218,272 : x
  2. Step 2: Convert to fraction form
    101,356/218,272 = 218,272/x
  3. Step 3: Cross multiply
    101,356x = 218,272 × 218,272
  4. Step 4: Simplify right side
    101,356x = 47,642,665,984
  5. Step 5: Solve for x
    x = 47,642,665,984/101,356
  6. Step 6: Final answer
    x = 470,052.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.