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Finding the Third Proportional to 30,953 and 40,273

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Solution

The third proportional to 30,953 and 40,273 is: 52,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953 : 40,273 = 40,273 : x
  2. Step 2: Convert to fraction form
    30,953/40,273 = 40,273/x
  3. Step 3: Cross multiply
    30,953x = 40,273 × 40,273
  4. Step 4: Simplify right side
    30,953x = 1,621,914,529
  5. Step 5: Solve for x
    x = 1,621,914,529/30,953
  6. Step 6: Final answer
    x = 52,399.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.