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Finding the Third Proportional to 76,478 and 168,084

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Solution

The third proportional to 76,478 and 168,084 is: 369,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478 : 168,084 = 168,084 : x
  2. Step 2: Convert to fraction form
    76,478/168,084 = 168,084/x
  3. Step 3: Cross multiply
    76,478x = 168,084 × 168,084
  4. Step 4: Simplify right side
    76,478x = 28,252,231,056
  5. Step 5: Solve for x
    x = 28,252,231,056/76,478
  6. Step 6: Final answer
    x = 369,416.45

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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.