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Finding the Third Proportional to 271,341.56 and 398,882.81

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Solution

The third proportional to 271,341.56 and 398,882.81 is: 586,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,341.56 : 398,882.81 = 398,882.81 : x
  2. Step 2: Convert to fraction form
    271,341.56/398,882.81 = 398,882.81/x
  3. Step 3: Cross multiply
    271,341.56x = 398,882.81 × 398,882.81
  4. Step 4: Simplify right side
    271,341.56x = 159,107,498,107.91
  5. Step 5: Solve for x
    x = 159,107,498,107.91/271,341.56
  6. Step 6: Final answer
    x = 586,373.49

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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.