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Finding the Third Proportional to 30,412 and 45,414

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Solution

The third proportional to 30,412 and 45,414 is: 67,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412 : 45,414 = 45,414 : x
  2. Step 2: Convert to fraction form
    30,412/45,414 = 45,414/x
  3. Step 3: Cross multiply
    30,412x = 45,414 × 45,414
  4. Step 4: Simplify right side
    30,412x = 2,062,431,396
  5. Step 5: Solve for x
    x = 2,062,431,396/30,412
  6. Step 6: Final answer
    x = 67,816.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.