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Finding the Third Proportional to 239,362 and 354,420

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Solution

The third proportional to 239,362 and 354,420 is: 524,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,362 : 354,420 = 354,420 : x
  2. Step 2: Convert to fraction form
    239,362/354,420 = 354,420/x
  3. Step 3: Cross multiply
    239,362x = 354,420 × 354,420
  4. Step 4: Simplify right side
    239,362x = 125,613,536,400
  5. Step 5: Solve for x
    x = 125,613,536,400/239,362
  6. Step 6: Final answer
    x = 524,784.79

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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.