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Finding the Third Proportional to 228,270 and 341,145

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Solution

The third proportional to 228,270 and 341,145 is: 509,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,270 : 341,145 = 341,145 : x
  2. Step 2: Convert to fraction form
    228,270/341,145 = 341,145/x
  3. Step 3: Cross multiply
    228,270x = 341,145 × 341,145
  4. Step 4: Simplify right side
    228,270x = 116,379,911,025
  5. Step 5: Solve for x
    x = 116,379,911,025/228,270
  6. Step 6: Final answer
    x = 509,834.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.