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Finding the Third Proportional to 342,009 and 743,058

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Solution

The third proportional to 342,009 and 743,058 is: 1,614,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,009 : 743,058 = 743,058 : x
  2. Step 2: Convert to fraction form
    342,009/743,058 = 743,058/x
  3. Step 3: Cross multiply
    342,009x = 743,058 × 743,058
  4. Step 4: Simplify right side
    342,009x = 552,135,191,364
  5. Step 5: Solve for x
    x = 552,135,191,364/342,009
  6. Step 6: Final answer
    x = 1,614,387.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.