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Finding the Third Proportional to 85,715 and 125,221

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Solution

The third proportional to 85,715 and 125,221 is: 182,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,715 : 125,221 = 125,221 : x
  2. Step 2: Convert to fraction form
    85,715/125,221 = 125,221/x
  3. Step 3: Cross multiply
    85,715x = 125,221 × 125,221
  4. Step 4: Simplify right side
    85,715x = 15,680,298,841
  5. Step 5: Solve for x
    x = 15,680,298,841/85,715
  6. Step 6: Final answer
    x = 182,935.30

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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.