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Finding the Third Proportional to 189,460 and 291,966

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Solution

The third proportional to 189,460 and 291,966 is: 449,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,460 : 291,966 = 291,966 : x
  2. Step 2: Convert to fraction form
    189,460/291,966 = 291,966/x
  3. Step 3: Cross multiply
    189,460x = 291,966 × 291,966
  4. Step 4: Simplify right side
    189,460x = 85,244,145,156
  5. Step 5: Solve for x
    x = 85,244,145,156/189,460
  6. Step 6: Final answer
    x = 449,932.15

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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.