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Finding the Third Proportional to 30,842 and 66,486

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Solution

The third proportional to 30,842 and 66,486 is: 143,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842 : 66,486 = 66,486 : x
  2. Step 2: Convert to fraction form
    30,842/66,486 = 66,486/x
  3. Step 3: Cross multiply
    30,842x = 66,486 × 66,486
  4. Step 4: Simplify right side
    30,842x = 4,420,388,196
  5. Step 5: Solve for x
    x = 4,420,388,196/30,842
  6. Step 6: Final answer
    x = 143,323.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.