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Finding the Third Proportional to 976,583 and 2,142,257

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Solution

The third proportional to 976,583 and 2,142,257 is: 4,699,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,583 : 2,142,257 = 2,142,257 : x
  2. Step 2: Convert to fraction form
    976,583/2,142,257 = 2,142,257/x
  3. Step 3: Cross multiply
    976,583x = 2,142,257 × 2,142,257
  4. Step 4: Simplify right side
    976,583x = 4,589,265,054,049
  5. Step 5: Solve for x
    x = 4,589,265,054,049/976,583
  6. Step 6: Final answer
    x = 4,699,308.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.