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Finding the Third Proportional to 65,135 and 135,454

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Solution

The third proportional to 65,135 and 135,454 is: 281,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135 : 135,454 = 135,454 : x
  2. Step 2: Convert to fraction form
    65,135/135,454 = 135,454/x
  3. Step 3: Cross multiply
    65,135x = 135,454 × 135,454
  4. Step 4: Simplify right side
    65,135x = 18,347,786,116
  5. Step 5: Solve for x
    x = 18,347,786,116/65,135
  6. Step 6: Final answer
    x = 281,688.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.