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Finding the Third Proportional to 112,714 and 169,515

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Solution

The third proportional to 112,714 and 169,515 is: 254,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,714 : 169,515 = 169,515 : x
  2. Step 2: Convert to fraction form
    112,714/169,515 = 169,515/x
  3. Step 3: Cross multiply
    112,714x = 169,515 × 169,515
  4. Step 4: Simplify right side
    112,714x = 28,735,335,225
  5. Step 5: Solve for x
    x = 28,735,335,225/112,714
  6. Step 6: Final answer
    x = 254,940.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.