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Finding the Third Proportional to 100,772 and 219,688

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Solution

The third proportional to 100,772 and 219,688 is: 478,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,772 : 219,688 = 219,688 : x
  2. Step 2: Convert to fraction form
    100,772/219,688 = 219,688/x
  3. Step 3: Cross multiply
    100,772x = 219,688 × 219,688
  4. Step 4: Simplify right side
    100,772x = 48,262,817,344
  5. Step 5: Solve for x
    x = 48,262,817,344/100,772
  6. Step 6: Final answer
    x = 478,930.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.