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Finding the Third Proportional to 353,738 and 540,939

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Solution

The third proportional to 353,738 and 540,939 is: 827,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,738 : 540,939 = 540,939 : x
  2. Step 2: Convert to fraction form
    353,738/540,939 = 540,939/x
  3. Step 3: Cross multiply
    353,738x = 540,939 × 540,939
  4. Step 4: Simplify right side
    353,738x = 292,615,001,721
  5. Step 5: Solve for x
    x = 292,615,001,721/353,738
  6. Step 6: Final answer
    x = 827,208.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.