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Finding the Third Proportional to 7,663,425 and 12,771,864

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Solution

The third proportional to 7,663,425 and 12,771,864 is: 21,285,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,425 : 12,771,864 = 12,771,864 : x
  2. Step 2: Convert to fraction form
    7,663,425/12,771,864 = 12,771,864/x
  3. Step 3: Cross multiply
    7,663,425x = 12,771,864 × 12,771,864
  4. Step 4: Simplify right side
    7,663,425x = 163,120,510,034,496
  5. Step 5: Solve for x
    x = 163,120,510,034,496/7,663,425
  6. Step 6: Final answer
    x = 21,285,588.37

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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.