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Finding the Third Proportional to 9,664 and 20,365

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Solution

The third proportional to 9,664 and 20,365 is: 42,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664 : 20,365 = 20,365 : x
  2. Step 2: Convert to fraction form
    9,664/20,365 = 20,365/x
  3. Step 3: Cross multiply
    9,664x = 20,365 × 20,365
  4. Step 4: Simplify right side
    9,664x = 414,733,225
  5. Step 5: Solve for x
    x = 414,733,225/9,664
  6. Step 6: Final answer
    x = 42,915.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.