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Finding the Third Proportional to 8,645 and 9,545

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Solution

The third proportional to 8,645 and 9,545 is: 10,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645 : 9,545 = 9,545 : x
  2. Step 2: Convert to fraction form
    8,645/9,545 = 9,545/x
  3. Step 3: Cross multiply
    8,645x = 9,545 × 9,545
  4. Step 4: Simplify right side
    8,645x = 91,107,025
  5. Step 5: Solve for x
    x = 91,107,025/8,645
  6. Step 6: Final answer
    x = 10,538.70

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.