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Finding the Third Proportional to 102,382 and 219,586

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Solution

The third proportional to 102,382 and 219,586 is: 470,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,382 : 219,586 = 219,586 : x
  2. Step 2: Convert to fraction form
    102,382/219,586 = 219,586/x
  3. Step 3: Cross multiply
    102,382x = 219,586 × 219,586
  4. Step 4: Simplify right side
    102,382x = 48,218,011,396
  5. Step 5: Solve for x
    x = 48,218,011,396/102,382
  6. Step 6: Final answer
    x = 470,961.80

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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.