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Finding the Third Proportional to 135,510.75 and 210,773.25

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Solution

The third proportional to 135,510.75 and 210,773.25 is: 327,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,510.75 : 210,773.25 = 210,773.25 : x
  2. Step 2: Convert to fraction form
    135,510.75/210,773.25 = 210,773.25/x
  3. Step 3: Cross multiply
    135,510.75x = 210,773.25 × 210,773.25
  4. Step 4: Simplify right side
    135,510.75x = 44,425,362,915.56
  5. Step 5: Solve for x
    x = 44,425,362,915.56/135,510.75
  6. Step 6: Final answer
    x = 327,836.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.