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Finding the Third Proportional to 76,590 and 168,299

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Solution

The third proportional to 76,590 and 168,299 is: 369,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,590 : 168,299 = 168,299 : x
  2. Step 2: Convert to fraction form
    76,590/168,299 = 168,299/x
  3. Step 3: Cross multiply
    76,590x = 168,299 × 168,299
  4. Step 4: Simplify right side
    76,590x = 28,324,553,401
  5. Step 5: Solve for x
    x = 28,324,553,401/76,590
  6. Step 6: Final answer
    x = 369,820.52

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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.