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Finding the Third Proportional to 155,900 and 228,018

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Solution

The third proportional to 155,900 and 228,018 is: 333,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,900 : 228,018 = 228,018 : x
  2. Step 2: Convert to fraction form
    155,900/228,018 = 228,018/x
  3. Step 3: Cross multiply
    155,900x = 228,018 × 228,018
  4. Step 4: Simplify right side
    155,900x = 51,992,208,324
  5. Step 5: Solve for x
    x = 51,992,208,324/155,900
  6. Step 6: Final answer
    x = 333,497.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.