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Finding the Third Proportional to 189,430 and 294,105

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Solution

The third proportional to 189,430 and 294,105 is: 456,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,430 : 294,105 = 294,105 : x
  2. Step 2: Convert to fraction form
    189,430/294,105 = 294,105/x
  3. Step 3: Cross multiply
    189,430x = 294,105 × 294,105
  4. Step 4: Simplify right side
    189,430x = 86,497,751,025
  5. Step 5: Solve for x
    x = 86,497,751,025/189,430
  6. Step 6: Final answer
    x = 456,621.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.