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Finding the Third Proportional to 4,190,980.50 and 6,408,274.50

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Solution

The third proportional to 4,190,980.50 and 6,408,274.50 is: 9,798,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,980.50 : 6,408,274.50 = 6,408,274.50 : x
  2. Step 2: Convert to fraction form
    4,190,980.50/6,408,274.50 = 6,408,274.50/x
  3. Step 3: Cross multiply
    4,190,980.50x = 6,408,274.50 × 6,408,274.50
  4. Step 4: Simplify right side
    4,190,980.50x = 41,065,982,067,350.25
  5. Step 5: Solve for x
    x = 41,065,982,067,350.25/4,190,980.50
  6. Step 6: Final answer
    x = 9,798,657.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.