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Finding the Third Proportional to 493,729 and 661,860

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Solution

The third proportional to 493,729 and 661,860 is: 887,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,729 : 661,860 = 661,860 : x
  2. Step 2: Convert to fraction form
    493,729/661,860 = 661,860/x
  3. Step 3: Cross multiply
    493,729x = 661,860 × 661,860
  4. Step 4: Simplify right side
    493,729x = 438,058,659,600
  5. Step 5: Solve for x
    x = 438,058,659,600/493,729
  6. Step 6: Final answer
    x = 887,245.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.