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Finding the Third Proportional to 66,824 and 139,159

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Solution

The third proportional to 66,824 and 139,159 is: 289,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,824 : 139,159 = 139,159 : x
  2. Step 2: Convert to fraction form
    66,824/139,159 = 139,159/x
  3. Step 3: Cross multiply
    66,824x = 139,159 × 139,159
  4. Step 4: Simplify right side
    66,824x = 19,365,227,281
  5. Step 5: Solve for x
    x = 19,365,227,281/66,824
  6. Step 6: Final answer
    x = 289,794.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.