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Finding the Third Proportional to 122,964.75 and 290,158.88

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Solution

The third proportional to 122,964.75 and 290,158.88 is: 684,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,964.75 : 290,158.88 = 290,158.88 : x
  2. Step 2: Convert to fraction form
    122,964.75/290,158.88 = 290,158.88/x
  3. Step 3: Cross multiply
    122,964.75x = 290,158.88 × 290,158.88
  4. Step 4: Simplify right side
    122,964.75x = 84,192,172,741.27
  5. Step 5: Solve for x
    x = 84,192,172,741.27/122,964.75
  6. Step 6: Final answer
    x = 684,685.43

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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.