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Finding the Third Proportional to 20,971 and 45,623

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Solution

The third proportional to 20,971 and 45,623 is: 99,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971 : 45,623 = 45,623 : x
  2. Step 2: Convert to fraction form
    20,971/45,623 = 45,623/x
  3. Step 3: Cross multiply
    20,971x = 45,623 × 45,623
  4. Step 4: Simplify right side
    20,971x = 2,081,458,129
  5. Step 5: Solve for x
    x = 2,081,458,129/20,971
  6. Step 6: Final answer
    x = 99,254.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.