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Finding the Third Proportional to 394,312.50 and 855,056.25

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Solution

The third proportional to 394,312.50 and 855,056.25 is: 1,854,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,312.50 : 855,056.25 = 855,056.25 : x
  2. Step 2: Convert to fraction form
    394,312.50/855,056.25 = 855,056.25/x
  3. Step 3: Cross multiply
    394,312.50x = 855,056.25 × 855,056.25
  4. Step 4: Simplify right side
    394,312.50x = 731,121,190,664.06
  5. Step 5: Solve for x
    x = 731,121,190,664.06/394,312.50
  6. Step 6: Final answer
    x = 1,854,166.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.