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Finding the Third Proportional to 21,278 and 45,714

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Solution

The third proportional to 21,278 and 45,714 is: 98,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278 : 45,714 = 45,714 : x
  2. Step 2: Convert to fraction form
    21,278/45,714 = 45,714/x
  3. Step 3: Cross multiply
    21,278x = 45,714 × 45,714
  4. Step 4: Simplify right side
    21,278x = 2,089,769,796
  5. Step 5: Solve for x
    x = 2,089,769,796/21,278
  6. Step 6: Final answer
    x = 98,212.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.