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Finding the Third Proportional to 216,891 and 333,780.75

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Solution

The third proportional to 216,891 and 333,780.75 is: 513,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,891 : 333,780.75 = 333,780.75 : x
  2. Step 2: Convert to fraction form
    216,891/333,780.75 = 333,780.75/x
  3. Step 3: Cross multiply
    216,891x = 333,780.75 × 333,780.75
  4. Step 4: Simplify right side
    216,891x = 111,409,589,070.56
  5. Step 5: Solve for x
    x = 111,409,589,070.56/216,891
  6. Step 6: Final answer
    x = 513,666.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.