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Finding the Third Proportional to 8,327,370 and 12,421,971

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Solution

The third proportional to 8,327,370 and 12,421,971 is: 18,529,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327,370 : 12,421,971 = 12,421,971 : x
  2. Step 2: Convert to fraction form
    8,327,370/12,421,971 = 12,421,971/x
  3. Step 3: Cross multiply
    8,327,370x = 12,421,971 × 12,421,971
  4. Step 4: Simplify right side
    8,327,370x = 154,305,363,524,841
  5. Step 5: Solve for x
    x = 154,305,363,524,841/8,327,370
  6. Step 6: Final answer
    x = 18,529,903.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.