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Finding the Third Proportional to 189,372 and 407,355

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Solution

The third proportional to 189,372 and 407,355 is: 876,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,372 : 407,355 = 407,355 : x
  2. Step 2: Convert to fraction form
    189,372/407,355 = 407,355/x
  3. Step 3: Cross multiply
    189,372x = 407,355 × 407,355
  4. Step 4: Simplify right side
    189,372x = 165,938,096,025
  5. Step 5: Solve for x
    x = 165,938,096,025/189,372
  6. Step 6: Final answer
    x = 876,254.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.