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Finding the Third Proportional to 7,769,287 and 12,187,718

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Solution

The third proportional to 7,769,287 and 12,187,718 is: 19,118,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,287 : 12,187,718 = 12,187,718 : x
  2. Step 2: Convert to fraction form
    7,769,287/12,187,718 = 12,187,718/x
  3. Step 3: Cross multiply
    7,769,287x = 12,187,718 × 12,187,718
  4. Step 4: Simplify right side
    7,769,287x = 148,540,470,047,524
  5. Step 5: Solve for x
    x = 148,540,470,047,524/7,769,287
  6. Step 6: Final answer
    x = 19,118,932.03

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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.