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Finding the Third Proportional to 102,310 and 218,834

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Solution

The third proportional to 102,310 and 218,834 is: 468,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,310 : 218,834 = 218,834 : x
  2. Step 2: Convert to fraction form
    102,310/218,834 = 218,834/x
  3. Step 3: Cross multiply
    102,310x = 218,834 × 218,834
  4. Step 4: Simplify right side
    102,310x = 47,888,319,556
  5. Step 5: Solve for x
    x = 47,888,319,556/102,310
  6. Step 6: Final answer
    x = 468,070.76

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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.