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Finding the Third Proportional to 105,790 and 220,328

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Solution

The third proportional to 105,790 and 220,328 is: 458,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,790 : 220,328 = 220,328 : x
  2. Step 2: Convert to fraction form
    105,790/220,328 = 220,328/x
  3. Step 3: Cross multiply
    105,790x = 220,328 × 220,328
  4. Step 4: Simplify right side
    105,790x = 48,544,427,584
  5. Step 5: Solve for x
    x = 48,544,427,584/105,790
  6. Step 6: Final answer
    x = 458,875.39

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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.