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Finding the Third Proportional to 312,669 and 659,787

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Solution

The third proportional to 312,669 and 659,787 is: 1,392,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,669 : 659,787 = 659,787 : x
  2. Step 2: Convert to fraction form
    312,669/659,787 = 659,787/x
  3. Step 3: Cross multiply
    312,669x = 659,787 × 659,787
  4. Step 4: Simplify right side
    312,669x = 435,318,885,369
  5. Step 5: Solve for x
    x = 435,318,885,369/312,669
  6. Step 6: Final answer
    x = 1,392,267.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.