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Finding the Third Proportional to 89,721 and 137,723.63

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Solution

The third proportional to 89,721 and 137,723.63 is: 211,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,721 : 137,723.63 = 137,723.63 : x
  2. Step 2: Convert to fraction form
    89,721/137,723.63 = 137,723.63/x
  3. Step 3: Cross multiply
    89,721x = 137,723.63 × 137,723.63
  4. Step 4: Simplify right side
    89,721x = 18,967,796,883.14
  5. Step 5: Solve for x
    x = 18,967,796,883.14/89,721
  6. Step 6: Final answer
    x = 211,408.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.