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Finding the Third Proportional to 356,708 and 489,135

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Solution

The third proportional to 356,708 and 489,135 is: 670,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,708 : 489,135 = 489,135 : x
  2. Step 2: Convert to fraction form
    356,708/489,135 = 489,135/x
  3. Step 3: Cross multiply
    356,708x = 489,135 × 489,135
  4. Step 4: Simplify right side
    356,708x = 239,253,048,225
  5. Step 5: Solve for x
    x = 239,253,048,225/356,708
  6. Step 6: Final answer
    x = 670,725.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.