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Finding the Third Proportional to 8,521,823 and 11,986,585

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Solution

The third proportional to 8,521,823 and 11,986,585 is: 16,860,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521,823 : 11,986,585 = 11,986,585 : x
  2. Step 2: Convert to fraction form
    8,521,823/11,986,585 = 11,986,585/x
  3. Step 3: Cross multiply
    8,521,823x = 11,986,585 × 11,986,585
  4. Step 4: Simplify right side
    8,521,823x = 143,678,219,962,225
  5. Step 5: Solve for x
    x = 143,678,219,962,225/8,521,823
  6. Step 6: Final answer
    x = 16,860,033.35

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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.