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Finding the Third Proportional to 146,257 and 315,265

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Solution

The third proportional to 146,257 and 315,265 is: 679,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,257 : 315,265 = 315,265 : x
  2. Step 2: Convert to fraction form
    146,257/315,265 = 315,265/x
  3. Step 3: Cross multiply
    146,257x = 315,265 × 315,265
  4. Step 4: Simplify right side
    146,257x = 99,392,020,225
  5. Step 5: Solve for x
    x = 99,392,020,225/146,257
  6. Step 6: Final answer
    x = 679,571.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.