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Finding the Third Proportional to 8,531,827 and 12,072,273

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Solution

The third proportional to 8,531,827 and 12,072,273 is: 17,081,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531,827 : 12,072,273 = 12,072,273 : x
  2. Step 2: Convert to fraction form
    8,531,827/12,072,273 = 12,072,273/x
  3. Step 3: Cross multiply
    8,531,827x = 12,072,273 × 12,072,273
  4. Step 4: Simplify right side
    8,531,827x = 145,739,775,386,529
  5. Step 5: Solve for x
    x = 145,739,775,386,529/8,531,827
  6. Step 6: Final answer
    x = 17,081,895.28

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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.