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Finding the Third Proportional to 305,121.94 and 638,128.13

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Solution

The third proportional to 305,121.94 and 638,128.13 is: 1,334,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,121.94 : 638,128.13 = 638,128.13 : x
  2. Step 2: Convert to fraction form
    305,121.94/638,128.13 = 638,128.13/x
  3. Step 3: Cross multiply
    305,121.94x = 638,128.13 × 638,128.13
  4. Step 4: Simplify right side
    305,121.94x = 407,207,503,916.02
  5. Step 5: Solve for x
    x = 407,207,503,916.02/305,121.94
  6. Step 6: Final answer
    x = 1,334,573.01

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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.