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Finding the Third Proportional to 149,298 and 231,159

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Solution

The third proportional to 149,298 and 231,159 is: 357,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,298 : 231,159 = 231,159 : x
  2. Step 2: Convert to fraction form
    149,298/231,159 = 231,159/x
  3. Step 3: Cross multiply
    149,298x = 231,159 × 231,159
  4. Step 4: Simplify right side
    149,298x = 53,434,483,281
  5. Step 5: Solve for x
    x = 53,434,483,281/149,298
  6. Step 6: Final answer
    x = 357,904.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.