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Finding the Third Proportional to 66,086 and 141,388

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Solution

The third proportional to 66,086 and 141,388 is: 302,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,086 : 141,388 = 141,388 : x
  2. Step 2: Convert to fraction form
    66,086/141,388 = 141,388/x
  3. Step 3: Cross multiply
    66,086x = 141,388 × 141,388
  4. Step 4: Simplify right side
    66,086x = 19,990,566,544
  5. Step 5: Solve for x
    x = 19,990,566,544/66,086
  6. Step 6: Final answer
    x = 302,493.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.