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Finding the Third Proportional to 21,573 and 47,155

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Solution

The third proportional to 21,573 and 47,155 is: 103,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573 : 47,155 = 47,155 : x
  2. Step 2: Convert to fraction form
    21,573/47,155 = 47,155/x
  3. Step 3: Cross multiply
    21,573x = 47,155 × 47,155
  4. Step 4: Simplify right side
    21,573x = 2,223,594,025
  5. Step 5: Solve for x
    x = 2,223,594,025/21,573
  6. Step 6: Final answer
    x = 103,073.01

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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.