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Finding the Third Proportional to 8,707,016 and 13,728,315

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Solution

The third proportional to 8,707,016 and 13,728,315 is: 21,645,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707,016 : 13,728,315 = 13,728,315 : x
  2. Step 2: Convert to fraction form
    8,707,016/13,728,315 = 13,728,315/x
  3. Step 3: Cross multiply
    8,707,016x = 13,728,315 × 13,728,315
  4. Step 4: Simplify right side
    8,707,016x = 188,466,632,739,225
  5. Step 5: Solve for x
    x = 188,466,632,739,225/8,707,016
  6. Step 6: Final answer
    x = 21,645,375.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.