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Finding the Third Proportional to 8,213,808 and 12,768,729

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Solution

The third proportional to 8,213,808 and 12,768,729 is: 19,849,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213,808 : 12,768,729 = 12,768,729 : x
  2. Step 2: Convert to fraction form
    8,213,808/12,768,729 = 12,768,729/x
  3. Step 3: Cross multiply
    8,213,808x = 12,768,729 × 12,768,729
  4. Step 4: Simplify right side
    8,213,808x = 163,040,440,275,441
  5. Step 5: Solve for x
    x = 163,040,440,275,441/8,213,808
  6. Step 6: Final answer
    x = 19,849,555.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.