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Finding the Third Proportional to 7,643 and 8,363

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Solution

The third proportional to 7,643 and 8,363 is: 9,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643 : 8,363 = 8,363 : x
  2. Step 2: Convert to fraction form
    7,643/8,363 = 8,363/x
  3. Step 3: Cross multiply
    7,643x = 8,363 × 8,363
  4. Step 4: Simplify right side
    7,643x = 69,939,769
  5. Step 5: Solve for x
    x = 69,939,769/7,643
  6. Step 6: Final answer
    x = 9,150.83

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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.