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Finding the Third Proportional to 345,060 and 505,986.75

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Solution

The third proportional to 345,060 and 505,986.75 is: 741,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,060 : 505,986.75 = 505,986.75 : x
  2. Step 2: Convert to fraction form
    345,060/505,986.75 = 505,986.75/x
  3. Step 3: Cross multiply
    345,060x = 505,986.75 × 505,986.75
  4. Step 4: Simplify right side
    345,060x = 256,022,591,175.56
  5. Step 5: Solve for x
    x = 256,022,591,175.56/345,060
  6. Step 6: Final answer
    x = 741,965.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.