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Finding the Third Proportional to 189,456 and 291,960

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Solution

The third proportional to 189,456 and 291,960 is: 449,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,456 : 291,960 = 291,960 : x
  2. Step 2: Convert to fraction form
    189,456/291,960 = 291,960/x
  3. Step 3: Cross multiply
    189,456x = 291,960 × 291,960
  4. Step 4: Simplify right side
    189,456x = 85,240,641,600
  5. Step 5: Solve for x
    x = 85,240,641,600/189,456
  6. Step 6: Final answer
    x = 449,923.16

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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.