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Finding the Third Proportional to 30,589 and 45,314

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Solution

The third proportional to 30,589 and 45,314 is: 67,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589 : 45,314 = 45,314 : x
  2. Step 2: Convert to fraction form
    30,589/45,314 = 45,314/x
  3. Step 3: Cross multiply
    30,589x = 45,314 × 45,314
  4. Step 4: Simplify right side
    30,589x = 2,053,358,596
  5. Step 5: Solve for x
    x = 2,053,358,596/30,589
  6. Step 6: Final answer
    x = 67,127.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.