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Finding the Third Proportional to 131,690 and 291,852

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Solution

The third proportional to 131,690 and 291,852 is: 646,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,690 : 291,852 = 291,852 : x
  2. Step 2: Convert to fraction form
    131,690/291,852 = 291,852/x
  3. Step 3: Cross multiply
    131,690x = 291,852 × 291,852
  4. Step 4: Simplify right side
    131,690x = 85,177,589,904
  5. Step 5: Solve for x
    x = 85,177,589,904/131,690
  6. Step 6: Final answer
    x = 646,803.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.