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Finding the Third Proportional to 71,071 and 147,174

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Solution

The third proportional to 71,071 and 147,174 is: 304,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,071 : 147,174 = 147,174 : x
  2. Step 2: Convert to fraction form
    71,071/147,174 = 147,174/x
  3. Step 3: Cross multiply
    71,071x = 147,174 × 147,174
  4. Step 4: Simplify right side
    71,071x = 21,660,186,276
  5. Step 5: Solve for x
    x = 21,660,186,276/71,071
  6. Step 6: Final answer
    x = 304,768.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.