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Finding the Third Proportional to 40,857 and 56,263

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Solution

The third proportional to 40,857 and 56,263 is: 77,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,857 : 56,263 = 56,263 : x
  2. Step 2: Convert to fraction form
    40,857/56,263 = 56,263/x
  3. Step 3: Cross multiply
    40,857x = 56,263 × 56,263
  4. Step 4: Simplify right side
    40,857x = 3,165,525,169
  5. Step 5: Solve for x
    x = 3,165,525,169/40,857
  6. Step 6: Final answer
    x = 77,478.16

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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.