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Finding the Third Proportional to 8,531,776 and 11,999,328

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Solution

The third proportional to 8,531,776 and 11,999,328 is: 16,876,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531,776 : 11,999,328 = 11,999,328 : x
  2. Step 2: Convert to fraction form
    8,531,776/11,999,328 = 11,999,328/x
  3. Step 3: Cross multiply
    8,531,776x = 11,999,328 × 11,999,328
  4. Step 4: Simplify right side
    8,531,776x = 143,983,872,451,584
  5. Step 5: Solve for x
    x = 143,983,872,451,584/8,531,776
  6. Step 6: Final answer
    x = 16,876,189.96

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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.