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Finding the Third Proportional to 135,808 and 298,688

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Solution

The third proportional to 135,808 and 298,688 is: 656,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,808 : 298,688 = 298,688 : x
  2. Step 2: Convert to fraction form
    135,808/298,688 = 298,688/x
  3. Step 3: Cross multiply
    135,808x = 298,688 × 298,688
  4. Step 4: Simplify right side
    135,808x = 89,214,521,344
  5. Step 5: Solve for x
    x = 89,214,521,344/135,808
  6. Step 6: Final answer
    x = 656,916.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.