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Finding the Third Proportional to 189,420 and 294,089

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Solution

The third proportional to 189,420 and 294,089 is: 456,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,420 : 294,089 = 294,089 : x
  2. Step 2: Convert to fraction form
    189,420/294,089 = 294,089/x
  3. Step 3: Cross multiply
    189,420x = 294,089 × 294,089
  4. Step 4: Simplify right side
    189,420x = 86,488,339,921
  5. Step 5: Solve for x
    x = 86,488,339,921/189,420
  6. Step 6: Final answer
    x = 456,595.61

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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.