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Finding the Third Proportional to 30,842 and 67,253

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Solution

The third proportional to 30,842 and 67,253 is: 146,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842 : 67,253 = 67,253 : x
  2. Step 2: Convert to fraction form
    30,842/67,253 = 67,253/x
  3. Step 3: Cross multiply
    30,842x = 67,253 × 67,253
  4. Step 4: Simplify right side
    30,842x = 4,522,966,009
  5. Step 5: Solve for x
    x = 4,522,966,009/30,842
  6. Step 6: Final answer
    x = 146,649.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.