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Finding the Third Proportional to 72,302.63 and 148,128.75

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Solution

The third proportional to 72,302.63 and 148,128.75 is: 303,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,302.63 : 148,128.75 = 148,128.75 : x
  2. Step 2: Convert to fraction form
    72,302.63/148,128.75 = 148,128.75/x
  3. Step 3: Cross multiply
    72,302.63x = 148,128.75 × 148,128.75
  4. Step 4: Simplify right side
    72,302.63x = 21,942,126,576.56
  5. Step 5: Solve for x
    x = 21,942,126,576.56/72,302.63
  6. Step 6: Final answer
    x = 303,476.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.