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Finding the Third Proportional to 21,573 and 47,154

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Solution

The third proportional to 21,573 and 47,154 is: 103,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573 : 47,154 = 47,154 : x
  2. Step 2: Convert to fraction form
    21,573/47,154 = 47,154/x
  3. Step 3: Cross multiply
    21,573x = 47,154 × 47,154
  4. Step 4: Simplify right side
    21,573x = 2,223,499,716
  5. Step 5: Solve for x
    x = 2,223,499,716/21,573
  6. Step 6: Final answer
    x = 103,068.64

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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.