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Finding the Third Proportional to 268,859 and 412,688

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Solution

The third proportional to 268,859 and 412,688 is: 633,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,859 : 412,688 = 412,688 : x
  2. Step 2: Convert to fraction form
    268,859/412,688 = 412,688/x
  3. Step 3: Cross multiply
    268,859x = 412,688 × 412,688
  4. Step 4: Simplify right side
    268,859x = 170,311,385,344
  5. Step 5: Solve for x
    x = 170,311,385,344/268,859
  6. Step 6: Final answer
    x = 633,459.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.