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Finding the Third Proportional to 216,616 and 324,924

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Solution

The third proportional to 216,616 and 324,924 is: 487,386

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,616 : 324,924 = 324,924 : x
  2. Step 2: Convert to fraction form
    216,616/324,924 = 324,924/x
  3. Step 3: Cross multiply
    216,616x = 324,924 × 324,924
  4. Step 4: Simplify right side
    216,616x = 105,575,605,776
  5. Step 5: Solve for x
    x = 105,575,605,776/216,616
  6. Step 6: Final answer
    x = 487,386

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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.