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Finding the Third Proportional to 76,800 and 168,362

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Solution

The third proportional to 76,800 and 168,362 is: 369,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800 : 168,362 = 168,362 : x
  2. Step 2: Convert to fraction form
    76,800/168,362 = 168,362/x
  3. Step 3: Cross multiply
    76,800x = 168,362 × 168,362
  4. Step 4: Simplify right side
    76,800x = 28,345,763,044
  5. Step 5: Solve for x
    x = 28,345,763,044/76,800
  6. Step 6: Final answer
    x = 369,085.46

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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.