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Finding the Third Proportional to 46,800 and 102,345

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Solution

The third proportional to 46,800 and 102,345 is: 223,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,800 : 102,345 = 102,345 : x
  2. Step 2: Convert to fraction form
    46,800/102,345 = 102,345/x
  3. Step 3: Cross multiply
    46,800x = 102,345 × 102,345
  4. Step 4: Simplify right side
    46,800x = 10,474,499,025
  5. Step 5: Solve for x
    x = 10,474,499,025/46,800
  6. Step 6: Final answer
    x = 223,814.08

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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.