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Finding the Third Proportional to 76,210 and 116,512

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Solution

The third proportional to 76,210 and 116,512 is: 178,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,210 : 116,512 = 116,512 : x
  2. Step 2: Convert to fraction form
    76,210/116,512 = 116,512/x
  3. Step 3: Cross multiply
    76,210x = 116,512 × 116,512
  4. Step 4: Simplify right side
    76,210x = 13,575,046,144
  5. Step 5: Solve for x
    x = 13,575,046,144/76,210
  6. Step 6: Final answer
    x = 178,126.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.