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Finding the Third Proportional to 7,663,296 and 12,021,408

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Solution

The third proportional to 7,663,296 and 12,021,408 is: 18,857,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,296 : 12,021,408 = 12,021,408 : x
  2. Step 2: Convert to fraction form
    7,663,296/12,021,408 = 12,021,408/x
  3. Step 3: Cross multiply
    7,663,296x = 12,021,408 × 12,021,408
  4. Step 4: Simplify right side
    7,663,296x = 144,514,250,302,464
  5. Step 5: Solve for x
    x = 144,514,250,302,464/7,663,296
  6. Step 6: Final answer
    x = 18,857,975.77

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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.