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Finding the Third Proportional to 216,810 and 333,663

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Solution

The third proportional to 216,810 and 333,663 is: 513,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,810 : 333,663 = 333,663 : x
  2. Step 2: Convert to fraction form
    216,810/333,663 = 333,663/x
  3. Step 3: Cross multiply
    216,810x = 333,663 × 333,663
  4. Step 4: Simplify right side
    216,810x = 111,330,997,569
  5. Step 5: Solve for x
    x = 111,330,997,569/216,810
  6. Step 6: Final answer
    x = 513,495.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.