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Finding the Third Proportional to 8,408,991 and 12,991,756.50

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Solution

The third proportional to 8,408,991 and 12,991,756.50 is: 20,072,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408,991 : 12,991,756.50 = 12,991,756.50 : x
  2. Step 2: Convert to fraction form
    8,408,991/12,991,756.50 = 12,991,756.50/x
  3. Step 3: Cross multiply
    8,408,991x = 12,991,756.50 × 12,991,756.50
  4. Step 4: Simplify right side
    8,408,991x = 168,785,736,955,292.25
  5. Step 5: Solve for x
    x = 168,785,736,955,292.25/8,408,991
  6. Step 6: Final answer
    x = 20,072,055.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.