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Finding the Third Proportional to 7,845.75 and 18,401.63

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Solution

The third proportional to 7,845.75 and 18,401.63 is: 43,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.75 : 18,401.63 = 18,401.63 : x
  2. Step 2: Convert to fraction form
    7,845.75/18,401.63 = 18,401.63/x
  3. Step 3: Cross multiply
    7,845.75x = 18,401.63 × 18,401.63
  4. Step 4: Simplify right side
    7,845.75x = 338,619,802.64
  5. Step 5: Solve for x
    x = 338,619,802.64/7,845.75
  6. Step 6: Final answer
    x = 43,159.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.