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Finding the Third Proportional to 291,842 and 419,331

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Solution

The third proportional to 291,842 and 419,331 is: 602,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,842 : 419,331 = 419,331 : x
  2. Step 2: Convert to fraction form
    291,842/419,331 = 419,331/x
  3. Step 3: Cross multiply
    291,842x = 419,331 × 419,331
  4. Step 4: Simplify right side
    291,842x = 175,838,487,561
  5. Step 5: Solve for x
    x = 175,838,487,561/291,842
  6. Step 6: Final answer
    x = 602,512.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.