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Finding the Third Proportional to 976,131 and 2,102,112

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Solution

The third proportional to 976,131 and 2,102,112 is: 4,526,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,131 : 2,102,112 = 2,102,112 : x
  2. Step 2: Convert to fraction form
    976,131/2,102,112 = 2,102,112/x
  3. Step 3: Cross multiply
    976,131x = 2,102,112 × 2,102,112
  4. Step 4: Simplify right side
    976,131x = 4,418,874,860,544
  5. Step 5: Solve for x
    x = 4,418,874,860,544/976,131
  6. Step 6: Final answer
    x = 4,526,928.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.