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Finding the Third Proportional to 493,722 and 661,851

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Solution

The third proportional to 493,722 and 661,851 is: 887,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,722 : 661,851 = 661,851 : x
  2. Step 2: Convert to fraction form
    493,722/661,851 = 661,851/x
  3. Step 3: Cross multiply
    493,722x = 661,851 × 661,851
  4. Step 4: Simplify right side
    493,722x = 438,046,746,201
  5. Step 5: Solve for x
    x = 438,046,746,201/493,722
  6. Step 6: Final answer
    x = 887,233.60

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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.