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Finding the Third Proportional to 216,969 and 335,921

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Solution

The third proportional to 216,969 and 335,921 is: 520,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,969 : 335,921 = 335,921 : x
  2. Step 2: Convert to fraction form
    216,969/335,921 = 335,921/x
  3. Step 3: Cross multiply
    216,969x = 335,921 × 335,921
  4. Step 4: Simplify right side
    216,969x = 112,842,918,241
  5. Step 5: Solve for x
    x = 112,842,918,241/216,969
  6. Step 6: Final answer
    x = 520,087.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.