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Finding the Third Proportional to 239,157 and 354,118

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Solution

The third proportional to 239,157 and 354,118 is: 524,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,157 : 354,118 = 354,118 : x
  2. Step 2: Convert to fraction form
    239,157/354,118 = 354,118/x
  3. Step 3: Cross multiply
    239,157x = 354,118 × 354,118
  4. Step 4: Simplify right side
    239,157x = 125,399,557,924
  5. Step 5: Solve for x
    x = 125,399,557,924/239,157
  6. Step 6: Final answer
    x = 524,339.90

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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.