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Finding the Third Proportional to 21,191 and 45,713

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Solution

The third proportional to 21,191 and 45,713 is: 98,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191 : 45,713 = 45,713 : x
  2. Step 2: Convert to fraction form
    21,191/45,713 = 45,713/x
  3. Step 3: Cross multiply
    21,191x = 45,713 × 45,713
  4. Step 4: Simplify right side
    21,191x = 2,089,678,369
  5. Step 5: Solve for x
    x = 2,089,678,369/21,191
  6. Step 6: Final answer
    x = 98,611.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.