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Finding the Third Proportional to 30,409 and 45,491

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Solution

The third proportional to 30,409 and 45,491 is: 68,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409 : 45,491 = 45,491 : x
  2. Step 2: Convert to fraction form
    30,409/45,491 = 45,491/x
  3. Step 3: Cross multiply
    30,409x = 45,491 × 45,491
  4. Step 4: Simplify right side
    30,409x = 2,069,431,081
  5. Step 5: Solve for x
    x = 2,069,431,081/30,409
  6. Step 6: Final answer
    x = 68,053.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.