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Finding the Third Proportional to 4,190,903 and 6,408,158.50

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Solution

The third proportional to 4,190,903 and 6,408,158.50 is: 9,798,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,903 : 6,408,158.50 = 6,408,158.50 : x
  2. Step 2: Convert to fraction form
    4,190,903/6,408,158.50 = 6,408,158.50/x
  3. Step 3: Cross multiply
    4,190,903x = 6,408,158.50 × 6,408,158.50
  4. Step 4: Simplify right side
    4,190,903x = 41,064,495,361,122.25
  5. Step 5: Solve for x
    x = 41,064,495,361,122.25/4,190,903
  6. Step 6: Final answer
    x = 9,798,483.85

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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.