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Finding the Third Proportional to 137,625.75 and 210,812.25

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Solution

The third proportional to 137,625.75 and 210,812.25 is: 322,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,625.75 : 210,812.25 = 210,812.25 : x
  2. Step 2: Convert to fraction form
    137,625.75/210,812.25 = 210,812.25/x
  3. Step 3: Cross multiply
    137,625.75x = 210,812.25 × 210,812.25
  4. Step 4: Simplify right side
    137,625.75x = 44,441,804,750.06
  5. Step 5: Solve for x
    x = 44,441,804,750.06/137,625.75
  6. Step 6: Final answer
    x = 322,917.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.