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Finding the Third Proportional to 271,316 and 398,856

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Solution

The third proportional to 271,316 and 398,856 is: 586,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,316 : 398,856 = 398,856 : x
  2. Step 2: Convert to fraction form
    271,316/398,856 = 398,856/x
  3. Step 3: Cross multiply
    271,316x = 398,856 × 398,856
  4. Step 4: Simplify right side
    271,316x = 159,086,108,736
  5. Step 5: Solve for x
    x = 159,086,108,736/271,316
  6. Step 6: Final answer
    x = 586,349.90

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