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Finding the Third Proportional to 976,190 and 2,102,228

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Solution

The third proportional to 976,190 and 2,102,228 is: 4,527,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,190 : 2,102,228 = 2,102,228 : x
  2. Step 2: Convert to fraction form
    976,190/2,102,228 = 2,102,228/x
  3. Step 3: Cross multiply
    976,190x = 2,102,228 × 2,102,228
  4. Step 4: Simplify right side
    976,190x = 4,419,362,563,984
  5. Step 5: Solve for x
    x = 4,419,362,563,984/976,190
  6. Step 6: Final answer
    x = 4,527,154.10

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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.