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Finding the Third Proportional to 33,428 and 70,612

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Solution

The third proportional to 33,428 and 70,612 is: 149,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428 : 70,612 = 70,612 : x
  2. Step 2: Convert to fraction form
    33,428/70,612 = 70,612/x
  3. Step 3: Cross multiply
    33,428x = 70,612 × 70,612
  4. Step 4: Simplify right side
    33,428x = 4,986,054,544
  5. Step 5: Solve for x
    x = 4,986,054,544/33,428
  6. Step 6: Final answer
    x = 149,158.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.