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Finding the Third Proportional to 387,119.25 and 910,824.75

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Solution

The third proportional to 387,119.25 and 910,824.75 is: 2,143,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,119.25 : 910,824.75 = 910,824.75 : x
  2. Step 2: Convert to fraction form
    387,119.25/910,824.75 = 910,824.75/x
  3. Step 3: Cross multiply
    387,119.25x = 910,824.75 × 910,824.75
  4. Step 4: Simplify right side
    387,119.25x = 829,601,725,212.56
  5. Step 5: Solve for x
    x = 829,601,725,212.56/387,119.25
  6. Step 6: Final answer
    x = 2,143,013.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.