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Finding the Third Proportional to 976,207 and 2,102,433

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Solution

The third proportional to 976,207 and 2,102,433 is: 4,527,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,207 : 2,102,433 = 2,102,433 : x
  2. Step 2: Convert to fraction form
    976,207/2,102,433 = 2,102,433/x
  3. Step 3: Cross multiply
    976,207x = 2,102,433 × 2,102,433
  4. Step 4: Simplify right side
    976,207x = 4,420,224,519,489
  5. Step 5: Solve for x
    x = 4,420,224,519,489/976,207
  6. Step 6: Final answer
    x = 4,527,958.23

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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.