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Finding the Third Proportional to 228,257 and 351,290

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Solution

The third proportional to 228,257 and 351,290 is: 540,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,257 : 351,290 = 351,290 : x
  2. Step 2: Convert to fraction form
    228,257/351,290 = 351,290/x
  3. Step 3: Cross multiply
    228,257x = 351,290 × 351,290
  4. Step 4: Simplify right side
    228,257x = 123,404,664,100
  5. Step 5: Solve for x
    x = 123,404,664,100/228,257
  6. Step 6: Final answer
    x = 540,639.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.