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Finding the Third Proportional to 260,903.25 and 403,680.38

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Solution

The third proportional to 260,903.25 and 403,680.38 is: 624,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,903.25 : 403,680.38 = 403,680.38 : x
  2. Step 2: Convert to fraction form
    260,903.25/403,680.38 = 403,680.38/x
  3. Step 3: Cross multiply
    260,903.25x = 403,680.38 × 403,680.38
  4. Step 4: Simplify right side
    260,903.25x = 162,957,845,160.14
  5. Step 5: Solve for x
    x = 162,957,845,160.14/260,903.25
  6. Step 6: Final answer
    x = 624,591.09

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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.