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Finding the Third Proportional to 66,786 and 99,971

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Solution

The third proportional to 66,786 and 99,971 is: 149,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786 : 99,971 = 99,971 : x
  2. Step 2: Convert to fraction form
    66,786/99,971 = 99,971/x
  3. Step 3: Cross multiply
    66,786x = 99,971 × 99,971
  4. Step 4: Simplify right side
    66,786x = 9,994,200,841
  5. Step 5: Solve for x
    x = 9,994,200,841/66,786
  6. Step 6: Final answer
    x = 149,645.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.