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Finding the Third Proportional to 8,457 and 9,213

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Solution

The third proportional to 8,457 and 9,213 is: 10,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457 : 9,213 = 9,213 : x
  2. Step 2: Convert to fraction form
    8,457/9,213 = 9,213/x
  3. Step 3: Cross multiply
    8,457x = 9,213 × 9,213
  4. Step 4: Simplify right side
    8,457x = 84,879,369
  5. Step 5: Solve for x
    x = 84,879,369/8,457
  6. Step 6: Final answer
    x = 10,036.58

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.