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Finding the Third Proportional to 12,800,814 and 27,992,724

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Solution

The third proportional to 12,800,814 and 27,992,724 is: 61,214,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800,814 : 27,992,724 = 27,992,724 : x
  2. Step 2: Convert to fraction form
    12,800,814/27,992,724 = 27,992,724/x
  3. Step 3: Cross multiply
    12,800,814x = 27,992,724 × 27,992,724
  4. Step 4: Simplify right side
    12,800,814x = 783,592,596,940,176
  5. Step 5: Solve for x
    x = 783,592,596,940,176/12,800,814
  6. Step 6: Final answer
    x = 61,214,278.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.