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Finding the Third Proportional to 105,782 and 220,312

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Solution

The third proportional to 105,782 and 220,312 is: 458,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,782 : 220,312 = 220,312 : x
  2. Step 2: Convert to fraction form
    105,782/220,312 = 220,312/x
  3. Step 3: Cross multiply
    105,782x = 220,312 × 220,312
  4. Step 4: Simplify right side
    105,782x = 48,537,377,344
  5. Step 5: Solve for x
    x = 48,537,377,344/105,782
  6. Step 6: Final answer
    x = 458,843.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.