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Finding the Third Proportional to 122,965.50 and 290,160.75

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Solution

The third proportional to 122,965.50 and 290,160.75 is: 684,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,965.50 : 290,160.75 = 290,160.75 : x
  2. Step 2: Convert to fraction form
    122,965.50/290,160.75 = 290,160.75/x
  3. Step 3: Cross multiply
    122,965.50x = 290,160.75 × 290,160.75
  4. Step 4: Simplify right side
    122,965.50x = 84,193,260,840.56
  5. Step 5: Solve for x
    x = 84,193,260,840.56/122,965.50
  6. Step 6: Final answer
    x = 684,690.10

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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.