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Finding the Third Proportional to 271,335 and 398,873.25

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Solution

The third proportional to 271,335 and 398,873.25 is: 586,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,335 : 398,873.25 = 398,873.25 : x
  2. Step 2: Convert to fraction form
    271,335/398,873.25 = 398,873.25/x
  3. Step 3: Cross multiply
    271,335x = 398,873.25 × 398,873.25
  4. Step 4: Simplify right side
    271,335x = 159,099,869,565.56
  5. Step 5: Solve for x
    x = 159,099,869,565.56/271,335
  6. Step 6: Final answer
    x = 586,359.55

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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.