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Finding the Third Proportional to 90,170 and 134,739

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Solution

The third proportional to 90,170 and 134,739 is: 201,337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,170 : 134,739 = 134,739 : x
  2. Step 2: Convert to fraction form
    90,170/134,739 = 134,739/x
  3. Step 3: Cross multiply
    90,170x = 134,739 × 134,739
  4. Step 4: Simplify right side
    90,170x = 18,154,598,121
  5. Step 5: Solve for x
    x = 18,154,598,121/90,170
  6. Step 6: Final answer
    x = 201,337.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.