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Finding the Third Proportional to 8,454 and 9,354

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Solution

The third proportional to 8,454 and 9,354 is: 10,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454 : 9,354 = 9,354 : x
  2. Step 2: Convert to fraction form
    8,454/9,354 = 9,354/x
  3. Step 3: Cross multiply
    8,454x = 9,354 × 9,354
  4. Step 4: Simplify right side
    8,454x = 87,497,316
  5. Step 5: Solve for x
    x = 87,497,316/8,454
  6. Step 6: Final answer
    x = 10,349.81

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.