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Finding the Third Proportional to 211,420 and 289,910

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Solution

The third proportional to 211,420 and 289,910 is: 397,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,420 : 289,910 = 289,910 : x
  2. Step 2: Convert to fraction form
    211,420/289,910 = 289,910/x
  3. Step 3: Cross multiply
    211,420x = 289,910 × 289,910
  4. Step 4: Simplify right side
    211,420x = 84,047,808,100
  5. Step 5: Solve for x
    x = 84,047,808,100/211,420
  6. Step 6: Final answer
    x = 397,539.53

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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.