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Finding the Third Proportional to 71,999 and 101,347

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Solution

The third proportional to 71,999 and 101,347 is: 142,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,999 : 101,347 = 101,347 : x
  2. Step 2: Convert to fraction form
    71,999/101,347 = 101,347/x
  3. Step 3: Cross multiply
    71,999x = 101,347 × 101,347
  4. Step 4: Simplify right side
    71,999x = 10,271,214,409
  5. Step 5: Solve for x
    x = 10,271,214,409/71,999
  6. Step 6: Final answer
    x = 142,657.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.