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Finding the Third Proportional to 271,316 and 398,854

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Solution

The third proportional to 271,316 and 398,854 is: 586,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,316 : 398,854 = 398,854 : x
  2. Step 2: Convert to fraction form
    271,316/398,854 = 398,854/x
  3. Step 3: Cross multiply
    271,316x = 398,854 × 398,854
  4. Step 4: Simplify right side
    271,316x = 159,084,513,316
  5. Step 5: Solve for x
    x = 159,084,513,316/271,316
  6. Step 6: Final answer
    x = 586,344.02

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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.