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Finding the Third Proportional to 76,984 and 168,680

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Solution

The third proportional to 76,984 and 168,680 is: 369,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,984 : 168,680 = 168,680 : x
  2. Step 2: Convert to fraction form
    76,984/168,680 = 168,680/x
  3. Step 3: Cross multiply
    76,984x = 168,680 × 168,680
  4. Step 4: Simplify right side
    76,984x = 28,452,942,400
  5. Step 5: Solve for x
    x = 28,452,942,400/76,984
  6. Step 6: Final answer
    x = 369,595.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.