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Finding the Third Proportional to 85,714 and 125,220

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Solution

The third proportional to 85,714 and 125,220 is: 182,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,714 : 125,220 = 125,220 : x
  2. Step 2: Convert to fraction form
    85,714/125,220 = 125,220/x
  3. Step 3: Cross multiply
    85,714x = 125,220 × 125,220
  4. Step 4: Simplify right side
    85,714x = 15,680,048,400
  5. Step 5: Solve for x
    x = 15,680,048,400/85,714
  6. Step 6: Final answer
    x = 182,934.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.