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Finding the Third Proportional to 66,328 and 143,159

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Solution

The third proportional to 66,328 and 143,159 is: 308,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,328 : 143,159 = 143,159 : x
  2. Step 2: Convert to fraction form
    66,328/143,159 = 143,159/x
  3. Step 3: Cross multiply
    66,328x = 143,159 × 143,159
  4. Step 4: Simplify right side
    66,328x = 20,494,499,281
  5. Step 5: Solve for x
    x = 20,494,499,281/66,328
  6. Step 6: Final answer
    x = 308,987.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.