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Finding the Third Proportional to 293,328 and 440,640

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Solution

The third proportional to 293,328 and 440,640 is: 661,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,328 : 440,640 = 440,640 : x
  2. Step 2: Convert to fraction form
    293,328/440,640 = 440,640/x
  3. Step 3: Cross multiply
    293,328x = 440,640 × 440,640
  4. Step 4: Simplify right side
    293,328x = 194,163,609,600
  5. Step 5: Solve for x
    x = 194,163,609,600/293,328
  6. Step 6: Final answer
    x = 661,933.43

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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.