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Finding the Third Proportional to 11,728,690 and 16,516,271

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Solution

The third proportional to 11,728,690 and 16,516,271 is: 23,258,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728,690 : 16,516,271 = 16,516,271 : x
  2. Step 2: Convert to fraction form
    11,728,690/16,516,271 = 16,516,271/x
  3. Step 3: Cross multiply
    11,728,690x = 16,516,271 × 16,516,271
  4. Step 4: Simplify right side
    11,728,690x = 272,787,207,745,441
  5. Step 5: Solve for x
    x = 272,787,207,745,441/11,728,690
  6. Step 6: Final answer
    x = 23,258,113.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.