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Finding the Third Proportional to 30,648 and 45,396

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Solution

The third proportional to 30,648 and 45,396 is: 67,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648 : 45,396 = 45,396 : x
  2. Step 2: Convert to fraction form
    30,648/45,396 = 45,396/x
  3. Step 3: Cross multiply
    30,648x = 45,396 × 45,396
  4. Step 4: Simplify right side
    30,648x = 2,060,796,816
  5. Step 5: Solve for x
    x = 2,060,796,816/30,648
  6. Step 6: Final answer
    x = 67,240.83

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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.