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Finding the Third Proportional to 216,161 and 345,321

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Solution

The third proportional to 216,161 and 345,321 is: 551,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,161 : 345,321 = 345,321 : x
  2. Step 2: Convert to fraction form
    216,161/345,321 = 345,321/x
  3. Step 3: Cross multiply
    216,161x = 345,321 × 345,321
  4. Step 4: Simplify right side
    216,161x = 119,246,593,041
  5. Step 5: Solve for x
    x = 119,246,593,041/216,161
  6. Step 6: Final answer
    x = 551,656.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.