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Finding the Third Proportional to 122,960 and 290,147

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Solution

The third proportional to 122,960 and 290,147 is: 684,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,960 : 290,147 = 290,147 : x
  2. Step 2: Convert to fraction form
    122,960/290,147 = 290,147/x
  3. Step 3: Cross multiply
    122,960x = 290,147 × 290,147
  4. Step 4: Simplify right side
    122,960x = 84,185,281,609
  5. Step 5: Solve for x
    x = 84,185,281,609/122,960
  6. Step 6: Final answer
    x = 684,655.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.