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Finding the Third Proportional to 146,986.31 and 321,999.19

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Solution

The third proportional to 146,986.31 and 321,999.19 is: 705,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,986.31 : 321,999.19 = 321,999.19 : x
  2. Step 2: Convert to fraction form
    146,986.31/321,999.19 = 321,999.19/x
  3. Step 3: Cross multiply
    146,986.31x = 321,999.19 × 321,999.19
  4. Step 4: Simplify right side
    146,986.31x = 103,683,476,750.66
  5. Step 5: Solve for x
    x = 103,683,476,750.66/146,986.31
  6. Step 6: Final answer
    x = 705,395.45

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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.