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Finding the Third Proportional to 342,228 and 706,137

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Solution

The third proportional to 342,228 and 706,137 is: 1,457,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,228 : 706,137 = 706,137 : x
  2. Step 2: Convert to fraction form
    342,228/706,137 = 706,137/x
  3. Step 3: Cross multiply
    342,228x = 706,137 × 706,137
  4. Step 4: Simplify right side
    342,228x = 498,629,462,769
  5. Step 5: Solve for x
    x = 498,629,462,769/342,228
  6. Step 6: Final answer
    x = 1,457,009.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.