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Finding the Third Proportional to 262,188 and 398,115

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Solution

The third proportional to 262,188 and 398,115 is: 604,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,188 : 398,115 = 398,115 : x
  2. Step 2: Convert to fraction form
    262,188/398,115 = 398,115/x
  3. Step 3: Cross multiply
    262,188x = 398,115 × 398,115
  4. Step 4: Simplify right side
    262,188x = 158,495,553,225
  5. Step 5: Solve for x
    x = 158,495,553,225/262,188
  6. Step 6: Final answer
    x = 604,511.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.