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Finding the Third Proportional to 211,421 and 289,915

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Solution

The third proportional to 211,421 and 289,915 is: 397,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,421 : 289,915 = 289,915 : x
  2. Step 2: Convert to fraction form
    211,421/289,915 = 289,915/x
  3. Step 3: Cross multiply
    211,421x = 289,915 × 289,915
  4. Step 4: Simplify right side
    211,421x = 84,050,707,225
  5. Step 5: Solve for x
    x = 84,050,707,225/211,421
  6. Step 6: Final answer
    x = 397,551.37

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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.