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Finding the Third Proportional to 40,857 and 56,265

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Solution

The third proportional to 40,857 and 56,265 is: 77,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,857 : 56,265 = 56,265 : x
  2. Step 2: Convert to fraction form
    40,857/56,265 = 56,265/x
  3. Step 3: Cross multiply
    40,857x = 56,265 × 56,265
  4. Step 4: Simplify right side
    40,857x = 3,165,750,225
  5. Step 5: Solve for x
    x = 3,165,750,225/40,857
  6. Step 6: Final answer
    x = 77,483.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.