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Finding the Third Proportional to 8,031,469 and 12,235,407

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Solution

The third proportional to 8,031,469 and 12,235,407 is: 18,639,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031,469 : 12,235,407 = 12,235,407 : x
  2. Step 2: Convert to fraction form
    8,031,469/12,235,407 = 12,235,407/x
  3. Step 3: Cross multiply
    8,031,469x = 12,235,407 × 12,235,407
  4. Step 4: Simplify right side
    8,031,469x = 149,705,184,455,649
  5. Step 5: Solve for x
    x = 149,705,184,455,649/8,031,469
  6. Step 6: Final answer
    x = 18,639,825.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.