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Finding the Third Proportional to 211,410 and 289,899

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Solution

The third proportional to 211,410 and 289,899 is: 397,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,410 : 289,899 = 289,899 : x
  2. Step 2: Convert to fraction form
    211,410/289,899 = 289,899/x
  3. Step 3: Cross multiply
    211,410x = 289,899 × 289,899
  4. Step 4: Simplify right side
    211,410x = 84,041,430,201
  5. Step 5: Solve for x
    x = 84,041,430,201/211,410
  6. Step 6: Final answer
    x = 397,528.17

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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.