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Finding the Third Proportional to 102,257 and 218,729

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Solution

The third proportional to 102,257 and 218,729 is: 467,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,257 : 218,729 = 218,729 : x
  2. Step 2: Convert to fraction form
    102,257/218,729 = 218,729/x
  3. Step 3: Cross multiply
    102,257x = 218,729 × 218,729
  4. Step 4: Simplify right side
    102,257x = 47,842,375,441
  5. Step 5: Solve for x
    x = 47,842,375,441/102,257
  6. Step 6: Final answer
    x = 467,864.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.