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Finding the Third Proportional to 12,934,400 and 20,290,225

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Solution

The third proportional to 12,934,400 and 20,290,225 is: 31,829,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934,400 : 20,290,225 = 20,290,225 : x
  2. Step 2: Convert to fraction form
    12,934,400/20,290,225 = 20,290,225/x
  3. Step 3: Cross multiply
    12,934,400x = 20,290,225 × 20,290,225
  4. Step 4: Simplify right side
    12,934,400x = 411,693,230,550,625
  5. Step 5: Solve for x
    x = 411,693,230,550,625/12,934,400
  6. Step 6: Final answer
    x = 31,829,325.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.