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Finding the Third Proportional to 140,216 and 305,806

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Solution

The third proportional to 140,216 and 305,806 is: 666,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,216 : 305,806 = 305,806 : x
  2. Step 2: Convert to fraction form
    140,216/305,806 = 305,806/x
  3. Step 3: Cross multiply
    140,216x = 305,806 × 305,806
  4. Step 4: Simplify right side
    140,216x = 93,517,309,636
  5. Step 5: Solve for x
    x = 93,517,309,636/140,216
  6. Step 6: Final answer
    x = 666,951.77

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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.