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Finding the Third Proportional to 66,663.50 and 140,821

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Solution

The third proportional to 66,663.50 and 140,821 is: 297,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,663.50 : 140,821 = 140,821 : x
  2. Step 2: Convert to fraction form
    66,663.50/140,821 = 140,821/x
  3. Step 3: Cross multiply
    66,663.50x = 140,821 × 140,821
  4. Step 4: Simplify right side
    66,663.50x = 19,830,554,041
  5. Step 5: Solve for x
    x = 19,830,554,041/66,663.50
  6. Step 6: Final answer
    x = 297,472.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.