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Finding the Third Proportional to 135,710 and 298,972

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Solution

The third proportional to 135,710 and 298,972 is: 658,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,710 : 298,972 = 298,972 : x
  2. Step 2: Convert to fraction form
    135,710/298,972 = 298,972/x
  3. Step 3: Cross multiply
    135,710x = 298,972 × 298,972
  4. Step 4: Simplify right side
    135,710x = 89,384,256,784
  5. Step 5: Solve for x
    x = 89,384,256,784/135,710
  6. Step 6: Final answer
    x = 658,641.64

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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.