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Finding the Third Proportional to 9,695 and 21,355

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Solution

The third proportional to 9,695 and 21,355 is: 47,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695 : 21,355 = 21,355 : x
  2. Step 2: Convert to fraction form
    9,695/21,355 = 21,355/x
  3. Step 3: Cross multiply
    9,695x = 21,355 × 21,355
  4. Step 4: Simplify right side
    9,695x = 456,036,025
  5. Step 5: Solve for x
    x = 456,036,025/9,695
  6. Step 6: Final answer
    x = 47,038.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.