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Finding the Third Proportional to 30,901.50 and 71,415

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Solution

The third proportional to 30,901.50 and 71,415 is: 165,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.50 : 71,415 = 71,415 : x
  2. Step 2: Convert to fraction form
    30,901.50/71,415 = 71,415/x
  3. Step 3: Cross multiply
    30,901.50x = 71,415 × 71,415
  4. Step 4: Simplify right side
    30,901.50x = 5,100,102,225
  5. Step 5: Solve for x
    x = 5,100,102,225/30,901.50
  6. Step 6: Final answer
    x = 165,043.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.