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Finding the Third Proportional to 21,665 and 47,465

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Solution

The third proportional to 21,665 and 47,465 is: 103,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665 : 47,465 = 47,465 : x
  2. Step 2: Convert to fraction form
    21,665/47,465 = 47,465/x
  3. Step 3: Cross multiply
    21,665x = 47,465 × 47,465
  4. Step 4: Simplify right side
    21,665x = 2,252,926,225
  5. Step 5: Solve for x
    x = 2,252,926,225/21,665
  6. Step 6: Final answer
    x = 103,989.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.