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Finding the Third Proportional to 136,808 and 298,704

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Solution

The third proportional to 136,808 and 298,704 is: 652,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,808 : 298,704 = 298,704 : x
  2. Step 2: Convert to fraction form
    136,808/298,704 = 298,704/x
  3. Step 3: Cross multiply
    136,808x = 298,704 × 298,704
  4. Step 4: Simplify right side
    136,808x = 89,224,079,616
  5. Step 5: Solve for x
    x = 89,224,079,616/136,808
  6. Step 6: Final answer
    x = 652,184.66

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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.