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Finding the Third Proportional to 146,986.73 and 321,999.05

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Solution

The third proportional to 146,986.73 and 321,999.05 is: 705,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,986.73 : 321,999.05 = 321,999.05 : x
  2. Step 2: Convert to fraction form
    146,986.73/321,999.05 = 321,999.05/x
  3. Step 3: Cross multiply
    146,986.73x = 321,999.05 × 321,999.05
  4. Step 4: Simplify right side
    146,986.73x = 103,683,386,188.41
  5. Step 5: Solve for x
    x = 103,683,386,188.41/146,986.73
  6. Step 6: Final answer
    x = 705,392.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.