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Finding the Third Proportional to 111,852 and 169,407

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Solution

The third proportional to 111,852 and 169,407 is: 256,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,852 : 169,407 = 169,407 : x
  2. Step 2: Convert to fraction form
    111,852/169,407 = 169,407/x
  3. Step 3: Cross multiply
    111,852x = 169,407 × 169,407
  4. Step 4: Simplify right side
    111,852x = 28,698,731,649
  5. Step 5: Solve for x
    x = 28,698,731,649/111,852
  6. Step 6: Final answer
    x = 256,577.72

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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.