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Finding the Third Proportional to 345,062 and 505,990

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Solution

The third proportional to 345,062 and 505,990 is: 741,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,062 : 505,990 = 505,990 : x
  2. Step 2: Convert to fraction form
    345,062/505,990 = 505,990/x
  3. Step 3: Cross multiply
    345,062x = 505,990 × 505,990
  4. Step 4: Simplify right side
    345,062x = 256,025,880,100
  5. Step 5: Solve for x
    x = 256,025,880,100/345,062
  6. Step 6: Final answer
    x = 741,970.66

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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.