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Finding the Third Proportional to 40,430 and 57,713

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Solution

The third proportional to 40,430 and 57,713 is: 82,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,430 : 57,713 = 57,713 : x
  2. Step 2: Convert to fraction form
    40,430/57,713 = 57,713/x
  3. Step 3: Cross multiply
    40,430x = 57,713 × 57,713
  4. Step 4: Simplify right side
    40,430x = 3,330,790,369
  5. Step 5: Solve for x
    x = 3,330,790,369/40,430
  6. Step 6: Final answer
    x = 82,384.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.