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Finding the Third Proportional to 326,880 and 494,648

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Solution

The third proportional to 326,880 and 494,648 is: 748,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,880 : 494,648 = 494,648 : x
  2. Step 2: Convert to fraction form
    326,880/494,648 = 494,648/x
  3. Step 3: Cross multiply
    326,880x = 494,648 × 494,648
  4. Step 4: Simplify right side
    326,880x = 244,676,643,904
  5. Step 5: Solve for x
    x = 244,676,643,904/326,880
  6. Step 6: Final answer
    x = 748,521.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.