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Finding the Third Proportional to 356,734.50 and 489,171.50

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Solution

The third proportional to 356,734.50 and 489,171.50 is: 670,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,734.50 : 489,171.50 = 489,171.50 : x
  2. Step 2: Convert to fraction form
    356,734.50/489,171.50 = 489,171.50/x
  3. Step 3: Cross multiply
    356,734.50x = 489,171.50 × 489,171.50
  4. Step 4: Simplify right side
    356,734.50x = 239,288,756,412.25
  5. Step 5: Solve for x
    x = 239,288,756,412.25/356,734.50
  6. Step 6: Final answer
    x = 670,775.48

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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.