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Finding the Third Proportional to 189,410 and 420,860

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Solution

The third proportional to 189,410 and 420,860 is: 935,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,410 : 420,860 = 420,860 : x
  2. Step 2: Convert to fraction form
    189,410/420,860 = 420,860/x
  3. Step 3: Cross multiply
    189,410x = 420,860 × 420,860
  4. Step 4: Simplify right side
    189,410x = 177,123,139,600
  5. Step 5: Solve for x
    x = 177,123,139,600/189,410
  6. Step 6: Final answer
    x = 935,130.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.