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Finding the Third Proportional to 7,838 and 10,645

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Solution

The third proportional to 7,838 and 10,645 is: 14,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838 : 10,645 = 10,645 : x
  2. Step 2: Convert to fraction form
    7,838/10,645 = 10,645/x
  3. Step 3: Cross multiply
    7,838x = 10,645 × 10,645
  4. Step 4: Simplify right side
    7,838x = 113,316,025
  5. Step 5: Solve for x
    x = 113,316,025/7,838
  6. Step 6: Final answer
    x = 14,457.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.