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Finding the Third Proportional to 239,159 and 354,121

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Solution

The third proportional to 239,159 and 354,121 is: 524,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,159 : 354,121 = 354,121 : x
  2. Step 2: Convert to fraction form
    239,159/354,121 = 354,121/x
  3. Step 3: Cross multiply
    239,159x = 354,121 × 354,121
  4. Step 4: Simplify right side
    239,159x = 125,401,682,641
  5. Step 5: Solve for x
    x = 125,401,682,641/239,159
  6. Step 6: Final answer
    x = 524,344.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.