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Finding the Third Proportional to 102,310 and 218,830

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Solution

The third proportional to 102,310 and 218,830 is: 468,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,310 : 218,830 = 218,830 : x
  2. Step 2: Convert to fraction form
    102,310/218,830 = 218,830/x
  3. Step 3: Cross multiply
    102,310x = 218,830 × 218,830
  4. Step 4: Simplify right side
    102,310x = 47,886,568,900
  5. Step 5: Solve for x
    x = 47,886,568,900/102,310
  6. Step 6: Final answer
    x = 468,053.65

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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.