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Finding the Third Proportional to 30,440 and 43,442

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Solution

The third proportional to 30,440 and 43,442 is: 61,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,440 : 43,442 = 43,442 : x
  2. Step 2: Convert to fraction form
    30,440/43,442 = 43,442/x
  3. Step 3: Cross multiply
    30,440x = 43,442 × 43,442
  4. Step 4: Simplify right side
    30,440x = 1,887,207,364
  5. Step 5: Solve for x
    x = 1,887,207,364/30,440
  6. Step 6: Final answer
    x = 61,997.61

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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.