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Finding the Third Proportional to 305,121.75 and 638,127.75

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Solution

The third proportional to 305,121.75 and 638,127.75 is: 1,334,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,121.75 : 638,127.75 = 638,127.75 : x
  2. Step 2: Convert to fraction form
    305,121.75/638,127.75 = 638,127.75/x
  3. Step 3: Cross multiply
    305,121.75x = 638,127.75 × 638,127.75
  4. Step 4: Simplify right side
    305,121.75x = 407,207,025,320.06
  5. Step 5: Solve for x
    x = 407,207,025,320.06/305,121.75
  6. Step 6: Final answer
    x = 1,334,572.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.