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Finding the Third Proportional to 72,429 and 167,808.75

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Solution

The third proportional to 72,429 and 167,808.75 is: 388,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,429 : 167,808.75 = 167,808.75 : x
  2. Step 2: Convert to fraction form
    72,429/167,808.75 = 167,808.75/x
  3. Step 3: Cross multiply
    72,429x = 167,808.75 × 167,808.75
  4. Step 4: Simplify right side
    72,429x = 28,159,776,576.56
  5. Step 5: Solve for x
    x = 28,159,776,576.56/72,429
  6. Step 6: Final answer
    x = 388,791.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.