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Finding the Third Proportional to 102,216 and 219,984

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Solution

The third proportional to 102,216 and 219,984 is: 473,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216 : 219,984 = 219,984 : x
  2. Step 2: Convert to fraction form
    102,216/219,984 = 219,984/x
  3. Step 3: Cross multiply
    102,216x = 219,984 × 219,984
  4. Step 4: Simplify right side
    102,216x = 48,392,960,256
  5. Step 5: Solve for x
    x = 48,392,960,256/102,216
  6. Step 6: Final answer
    x = 473,438.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.