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Finding the Third Proportional to 66,971 and 147,334

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Solution

The third proportional to 66,971 and 147,334 is: 324,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,971 : 147,334 = 147,334 : x
  2. Step 2: Convert to fraction form
    66,971/147,334 = 147,334/x
  3. Step 3: Cross multiply
    66,971x = 147,334 × 147,334
  4. Step 4: Simplify right side
    66,971x = 21,707,307,556
  5. Step 5: Solve for x
    x = 21,707,307,556/66,971
  6. Step 6: Final answer
    x = 324,129.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.