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Finding the Third Proportional to 76,486 and 168,100

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Solution

The third proportional to 76,486 and 168,100 is: 369,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486 : 168,100 = 168,100 : x
  2. Step 2: Convert to fraction form
    76,486/168,100 = 168,100/x
  3. Step 3: Cross multiply
    76,486x = 168,100 × 168,100
  4. Step 4: Simplify right side
    76,486x = 28,257,610,000
  5. Step 5: Solve for x
    x = 28,257,610,000/76,486
  6. Step 6: Final answer
    x = 369,448.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.