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Finding the Third Proportional to 21,066.75 and 45,231.75

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Solution

The third proportional to 21,066.75 and 45,231.75 is: 97,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066.75 : 45,231.75 = 45,231.75 : x
  2. Step 2: Convert to fraction form
    21,066.75/45,231.75 = 45,231.75/x
  3. Step 3: Cross multiply
    21,066.75x = 45,231.75 × 45,231.75
  4. Step 4: Simplify right side
    21,066.75x = 2,045,911,208.06
  5. Step 5: Solve for x
    x = 2,045,911,208.06/21,066.75
  6. Step 6: Final answer
    x = 97,115.65

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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.