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Finding the Third Proportional to 102,300 and 218,811

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Solution

The third proportional to 102,300 and 218,811 is: 468,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,300 : 218,811 = 218,811 : x
  2. Step 2: Convert to fraction form
    102,300/218,811 = 218,811/x
  3. Step 3: Cross multiply
    102,300x = 218,811 × 218,811
  4. Step 4: Simplify right side
    102,300x = 47,878,253,721
  5. Step 5: Solve for x
    x = 47,878,253,721/102,300
  6. Step 6: Final answer
    x = 468,018.12

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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.