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Finding the Third Proportional to 33,106,806 and 71,273,342.25

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Solution

The third proportional to 33,106,806 and 71,273,342.25 is: 153,439,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106,806 : 71,273,342.25 = 71,273,342.25 : x
  2. Step 2: Convert to fraction form
    33,106,806/71,273,342.25 = 71,273,342.25/x
  3. Step 3: Cross multiply
    33,106,806x = 71,273,342.25 × 71,273,342.25
  4. Step 4: Simplify right side
    33,106,806x = 5,079,889,315,485,635
  5. Step 5: Solve for x
    x = 5,079,889,315,485,635/33,106,806
  6. Step 6: Final answer
    x = 153,439,426.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.