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Finding the Third Proportional to 256,845.94 and 409,052.53

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Solution

The third proportional to 256,845.94 and 409,052.53 is: 651,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,845.94 : 409,052.53 = 409,052.53 : x
  2. Step 2: Convert to fraction form
    256,845.94/409,052.53 = 409,052.53/x
  3. Step 3: Cross multiply
    256,845.94x = 409,052.53 × 409,052.53
  4. Step 4: Simplify right side
    256,845.94x = 167,323,973,322.03
  5. Step 5: Solve for x
    x = 167,323,973,322.03/256,845.94
  6. Step 6: Final answer
    x = 651,456.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.