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Finding the Third Proportional to 216,669 and 312,092

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Solution

The third proportional to 216,669 and 312,092 is: 449,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,669 : 312,092 = 312,092 : x
  2. Step 2: Convert to fraction form
    216,669/312,092 = 312,092/x
  3. Step 3: Cross multiply
    216,669x = 312,092 × 312,092
  4. Step 4: Simplify right side
    216,669x = 97,401,416,464
  5. Step 5: Solve for x
    x = 97,401,416,464/216,669
  6. Step 6: Final answer
    x = 449,540.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.