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Finding the Third Proportional to 216,999 and 335,967.75

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Solution

The third proportional to 216,999 and 335,967.75 is: 520,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,999 : 335,967.75 = 335,967.75 : x
  2. Step 2: Convert to fraction form
    216,999/335,967.75 = 335,967.75/x
  3. Step 3: Cross multiply
    216,999x = 335,967.75 × 335,967.75
  4. Step 4: Simplify right side
    216,999x = 112,874,329,040.06
  5. Step 5: Solve for x
    x = 112,874,329,040.06/216,999
  6. Step 6: Final answer
    x = 520,160.60

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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.