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Finding the Third Proportional to 271,378 and 398,929

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Solution

The third proportional to 271,378 and 398,929 is: 586,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,378 : 398,929 = 398,929 : x
  2. Step 2: Convert to fraction form
    271,378/398,929 = 398,929/x
  3. Step 3: Cross multiply
    271,378x = 398,929 × 398,929
  4. Step 4: Simplify right side
    271,378x = 159,144,347,041
  5. Step 5: Solve for x
    x = 159,144,347,041/271,378
  6. Step 6: Final answer
    x = 586,430.54

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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.