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Finding the Third Proportional to 320,145 and 482,328

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Solution

The third proportional to 320,145 and 482,328 is: 726,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,145 : 482,328 = 482,328 : x
  2. Step 2: Convert to fraction form
    320,145/482,328 = 482,328/x
  3. Step 3: Cross multiply
    320,145x = 482,328 × 482,328
  4. Step 4: Simplify right side
    320,145x = 232,640,299,584
  5. Step 5: Solve for x
    x = 232,640,299,584/320,145
  6. Step 6: Final answer
    x = 726,671.66

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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.