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Finding the Third Proportional to 102,262.50 and 218,739

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Solution

The third proportional to 102,262.50 and 218,739 is: 467,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,262.50 : 218,739 = 218,739 : x
  2. Step 2: Convert to fraction form
    102,262.50/218,739 = 218,739/x
  3. Step 3: Cross multiply
    102,262.50x = 218,739 × 218,739
  4. Step 4: Simplify right side
    102,262.50x = 47,846,750,121
  5. Step 5: Solve for x
    x = 47,846,750,121/102,262.50
  6. Step 6: Final answer
    x = 467,881.68

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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.