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Finding the Third Proportional to 291,256 and 391,462

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Solution

The third proportional to 291,256 and 391,462 is: 526,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,256 : 391,462 = 391,462 : x
  2. Step 2: Convert to fraction form
    291,256/391,462 = 391,462/x
  3. Step 3: Cross multiply
    291,256x = 391,462 × 391,462
  4. Step 4: Simplify right side
    291,256x = 153,242,497,444
  5. Step 5: Solve for x
    x = 153,242,497,444/291,256
  6. Step 6: Final answer
    x = 526,143.66

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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.