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Finding the Third Proportional to 216,792 and 323,556

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Solution

The third proportional to 216,792 and 323,556 is: 482,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,792 : 323,556 = 323,556 : x
  2. Step 2: Convert to fraction form
    216,792/323,556 = 323,556/x
  3. Step 3: Cross multiply
    216,792x = 323,556 × 323,556
  4. Step 4: Simplify right side
    216,792x = 104,688,485,136
  5. Step 5: Solve for x
    x = 104,688,485,136/216,792
  6. Step 6: Final answer
    x = 482,898.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.