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Finding the Third Proportional to 211,411.50 and 289,901.25

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Solution

The third proportional to 211,411.50 and 289,901.25 is: 397,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,411.50 : 289,901.25 = 289,901.25 : x
  2. Step 2: Convert to fraction form
    211,411.50/289,901.25 = 289,901.25/x
  3. Step 3: Cross multiply
    211,411.50x = 289,901.25 × 289,901.25
  4. Step 4: Simplify right side
    211,411.50x = 84,042,734,751.56
  5. Step 5: Solve for x
    x = 84,042,734,751.56/211,411.50
  6. Step 6: Final answer
    x = 397,531.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.