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Finding the Third Proportional to 3,868,290,735 and 5,806,530,408.50

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Solution

The third proportional to 3,868,290,735 and 5,806,530,408.50 is: 8,715,941,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868,290,735 : 5,806,530,408.50 = 5,806,530,408.50 : x
  2. Step 2: Convert to fraction form
    3,868,290,735/5,806,530,408.50 = 5,806,530,408.50/x
  3. Step 3: Cross multiply
    3,868,290,735x = 5,806,530,408.50 × 5,806,530,408.50
  4. Step 4: Simplify right side
    3,868,290,735x = 33,715,795,384,835,178,496
  5. Step 5: Solve for x
    x = 33,715,795,384,835,178,496/3,868,290,735
  6. Step 6: Final answer
    x = 8,715,941,405.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.