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Finding the Third Proportional to 211,432.50 and 289,932

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Solution

The third proportional to 211,432.50 and 289,932 is: 397,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,432.50 : 289,932 = 289,932 : x
  2. Step 2: Convert to fraction form
    211,432.50/289,932 = 289,932/x
  3. Step 3: Cross multiply
    211,432.50x = 289,932 × 289,932
  4. Step 4: Simplify right side
    211,432.50x = 84,060,564,624
  5. Step 5: Solve for x
    x = 84,060,564,624/211,432.50
  6. Step 6: Final answer
    x = 397,576.36

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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.