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Finding the Third Proportional to 256,346.02 and 397,954.27

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Solution

The third proportional to 256,346.02 and 397,954.27 is: 617,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,346.02 : 397,954.27 = 397,954.27 : x
  2. Step 2: Convert to fraction form
    256,346.02/397,954.27 = 397,954.27/x
  3. Step 3: Cross multiply
    256,346.02x = 397,954.27 × 397,954.27
  4. Step 4: Simplify right side
    256,346.02x = 158,367,597,529.13
  5. Step 5: Solve for x
    x = 158,367,597,529.13/256,346.02
  6. Step 6: Final answer
    x = 617,788.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.