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Finding the Third Proportional to 189,390 and 418,146

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Solution

The third proportional to 189,390 and 418,146 is: 923,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,390 : 418,146 = 418,146 : x
  2. Step 2: Convert to fraction form
    189,390/418,146 = 418,146/x
  3. Step 3: Cross multiply
    189,390x = 418,146 × 418,146
  4. Step 4: Simplify right side
    189,390x = 174,846,077,316
  5. Step 5: Solve for x
    x = 174,846,077,316/189,390
  6. Step 6: Final answer
    x = 923,206.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.