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Finding the Third Proportional to 102,782 and 219,136

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Solution

The third proportional to 102,782 and 219,136 is: 467,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,782 : 219,136 = 219,136 : x
  2. Step 2: Convert to fraction form
    102,782/219,136 = 219,136/x
  3. Step 3: Cross multiply
    102,782x = 219,136 × 219,136
  4. Step 4: Simplify right side
    102,782x = 48,020,586,496
  5. Step 5: Solve for x
    x = 48,020,586,496/102,782
  6. Step 6: Final answer
    x = 467,208.13

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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.