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Finding the Third Proportional to 291,296 and 438,996

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Solution

The third proportional to 291,296 and 438,996 is: 661,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,296 : 438,996 = 438,996 : x
  2. Step 2: Convert to fraction form
    291,296/438,996 = 438,996/x
  3. Step 3: Cross multiply
    291,296x = 438,996 × 438,996
  4. Step 4: Simplify right side
    291,296x = 192,717,488,016
  5. Step 5: Solve for x
    x = 192,717,488,016/291,296
  6. Step 6: Final answer
    x = 661,586.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.