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Finding the Third Proportional to 102,780 and 219,132

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Solution

The third proportional to 102,780 and 219,132 is: 467,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,780 : 219,132 = 219,132 : x
  2. Step 2: Convert to fraction form
    102,780/219,132 = 219,132/x
  3. Step 3: Cross multiply
    102,780x = 219,132 × 219,132
  4. Step 4: Simplify right side
    102,780x = 48,018,833,424
  5. Step 5: Solve for x
    x = 48,018,833,424/102,780
  6. Step 6: Final answer
    x = 467,200.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.