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Finding the Third Proportional to 65,139 and 135,462

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Solution

The third proportional to 65,139 and 135,462 is: 281,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,139 : 135,462 = 135,462 : x
  2. Step 2: Convert to fraction form
    65,139/135,462 = 135,462/x
  3. Step 3: Cross multiply
    65,139x = 135,462 × 135,462
  4. Step 4: Simplify right side
    65,139x = 18,349,953,444
  5. Step 5: Solve for x
    x = 18,349,953,444/65,139
  6. Step 6: Final answer
    x = 281,704.56

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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.