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Finding the Third Proportional to 212,634 and 288,903

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Solution

The third proportional to 212,634 and 288,903 is: 392,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,634 : 288,903 = 288,903 : x
  2. Step 2: Convert to fraction form
    212,634/288,903 = 288,903/x
  3. Step 3: Cross multiply
    212,634x = 288,903 × 288,903
  4. Step 4: Simplify right side
    212,634x = 83,464,943,409
  5. Step 5: Solve for x
    x = 83,464,943,409/212,634
  6. Step 6: Final answer
    x = 392,528.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.