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Finding the Third Proportional to 151,817.25 and 218,703.75

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Solution

The third proportional to 151,817.25 and 218,703.75 is: 315,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,817.25 : 218,703.75 = 218,703.75 : x
  2. Step 2: Convert to fraction form
    151,817.25/218,703.75 = 218,703.75/x
  3. Step 3: Cross multiply
    151,817.25x = 218,703.75 × 218,703.75
  4. Step 4: Simplify right side
    151,817.25x = 47,831,330,264.06
  5. Step 5: Solve for x
    x = 47,831,330,264.06/151,817.25
  6. Step 6: Final answer
    x = 315,058.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.