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Finding the Third Proportional to 7,873,284 and 12,856,266

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Solution

The third proportional to 7,873,284 and 12,856,266 is: 20,992,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873,284 : 12,856,266 = 12,856,266 : x
  2. Step 2: Convert to fraction form
    7,873,284/12,856,266 = 12,856,266/x
  3. Step 3: Cross multiply
    7,873,284x = 12,856,266 × 12,856,266
  4. Step 4: Simplify right side
    7,873,284x = 165,283,575,462,756
  5. Step 5: Solve for x
    x = 165,283,575,462,756/7,873,284
  6. Step 6: Final answer
    x = 20,992,965.00

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.