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Finding the Third Proportional to 135,740 and 148,045

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Solution

The third proportional to 135,740 and 148,045 is: 161,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,740 : 148,045 = 148,045 : x
  2. Step 2: Convert to fraction form
    135,740/148,045 = 148,045/x
  3. Step 3: Cross multiply
    135,740x = 148,045 × 148,045
  4. Step 4: Simplify right side
    135,740x = 21,917,322,025
  5. Step 5: Solve for x
    x = 21,917,322,025/135,740
  6. Step 6: Final answer
    x = 161,465.46

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.