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Finding the Third Proportional to 189,458 and 291,963

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Solution

The third proportional to 189,458 and 291,963 is: 449,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,458 : 291,963 = 291,963 : x
  2. Step 2: Convert to fraction form
    189,458/291,963 = 291,963/x
  3. Step 3: Cross multiply
    189,458x = 291,963 × 291,963
  4. Step 4: Simplify right side
    189,458x = 85,242,393,369
  5. Step 5: Solve for x
    x = 85,242,393,369/189,458
  6. Step 6: Final answer
    x = 449,927.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.