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Finding the Third Proportional to 7,663,401 and 12,771,825

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Solution

The third proportional to 7,663,401 and 12,771,825 is: 21,285,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,401 : 12,771,825 = 12,771,825 : x
  2. Step 2: Convert to fraction form
    7,663,401/12,771,825 = 12,771,825/x
  3. Step 3: Cross multiply
    7,663,401x = 12,771,825 × 12,771,825
  4. Step 4: Simplify right side
    7,663,401x = 163,119,513,830,625
  5. Step 5: Solve for x
    x = 163,119,513,830,625/7,663,401
  6. Step 6: Final answer
    x = 21,285,525.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.