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Finding the Third Proportional to 343,758 and 505,098

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Solution

The third proportional to 343,758 and 505,098 is: 742,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,758 : 505,098 = 505,098 : x
  2. Step 2: Convert to fraction form
    343,758/505,098 = 505,098/x
  3. Step 3: Cross multiply
    343,758x = 505,098 × 505,098
  4. Step 4: Simplify right side
    343,758x = 255,123,989,604
  5. Step 5: Solve for x
    x = 255,123,989,604/343,758
  6. Step 6: Final answer
    x = 742,161.61

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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.