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Finding the Third Proportional to 66,715 and 101,447

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Solution

The third proportional to 66,715 and 101,447 is: 154,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,715 : 101,447 = 101,447 : x
  2. Step 2: Convert to fraction form
    66,715/101,447 = 101,447/x
  3. Step 3: Cross multiply
    66,715x = 101,447 × 101,447
  4. Step 4: Simplify right side
    66,715x = 10,291,493,809
  5. Step 5: Solve for x
    x = 10,291,493,809/66,715
  6. Step 6: Final answer
    x = 154,260.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.