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Finding the Third Proportional to 216,749 and 465,456

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Solution

The third proportional to 216,749 and 465,456 is: 999,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,749 : 465,456 = 465,456 : x
  2. Step 2: Convert to fraction form
    216,749/465,456 = 465,456/x
  3. Step 3: Cross multiply
    216,749x = 465,456 × 465,456
  4. Step 4: Simplify right side
    216,749x = 216,649,287,936
  5. Step 5: Solve for x
    x = 216,649,287,936/216,749
  6. Step 6: Final answer
    x = 999,539.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.