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Finding the Third Proportional to 66,501 and 89,721

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Solution

The third proportional to 66,501 and 89,721 is: 121,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,501 : 89,721 = 89,721 : x
  2. Step 2: Convert to fraction form
    66,501/89,721 = 89,721/x
  3. Step 3: Cross multiply
    66,501x = 89,721 × 89,721
  4. Step 4: Simplify right side
    66,501x = 8,049,857,841
  5. Step 5: Solve for x
    x = 8,049,857,841/66,501
  6. Step 6: Final answer
    x = 121,048.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.