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Finding the Third Proportional to 291,203.25 and 427,125

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Solution

The third proportional to 291,203.25 and 427,125 is: 626,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,203.25 : 427,125 = 427,125 : x
  2. Step 2: Convert to fraction form
    291,203.25/427,125 = 427,125/x
  3. Step 3: Cross multiply
    291,203.25x = 427,125 × 427,125
  4. Step 4: Simplify right side
    291,203.25x = 182,435,765,625
  5. Step 5: Solve for x
    x = 182,435,765,625/291,203.25
  6. Step 6: Final answer
    x = 626,489.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.