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Finding the Third Proportional to 213,165 and 307,962

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Solution

The third proportional to 213,165 and 307,962 is: 444,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165 : 307,962 = 307,962 : x
  2. Step 2: Convert to fraction form
    213,165/307,962 = 307,962/x
  3. Step 3: Cross multiply
    213,165x = 307,962 × 307,962
  4. Step 4: Simplify right side
    213,165x = 94,840,593,444
  5. Step 5: Solve for x
    x = 94,840,593,444/213,165
  6. Step 6: Final answer
    x = 444,916.35

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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.