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Finding the Third Proportional to 340,908 and 734,144

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Solution

The third proportional to 340,908 and 734,144 is: 1,580,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,908 : 734,144 = 734,144 : x
  2. Step 2: Convert to fraction form
    340,908/734,144 = 734,144/x
  3. Step 3: Cross multiply
    340,908x = 734,144 × 734,144
  4. Step 4: Simplify right side
    340,908x = 538,967,412,736
  5. Step 5: Solve for x
    x = 538,967,412,736/340,908
  6. Step 6: Final answer
    x = 1,580,976.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.