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Finding the Third Proportional to 30,310 and 40,771

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Solution

The third proportional to 30,310 and 40,771 is: 54,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,310 : 40,771 = 40,771 : x
  2. Step 2: Convert to fraction form
    30,310/40,771 = 40,771/x
  3. Step 3: Cross multiply
    30,310x = 40,771 × 40,771
  4. Step 4: Simplify right side
    30,310x = 1,662,274,441
  5. Step 5: Solve for x
    x = 1,662,274,441/30,310
  6. Step 6: Final answer
    x = 54,842.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.