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Finding the Third Proportional to 312,698 and 484,819

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Solution

The third proportional to 312,698 and 484,819 is: 751,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,698 : 484,819 = 484,819 : x
  2. Step 2: Convert to fraction form
    312,698/484,819 = 484,819/x
  3. Step 3: Cross multiply
    312,698x = 484,819 × 484,819
  4. Step 4: Simplify right side
    312,698x = 235,049,462,761
  5. Step 5: Solve for x
    x = 235,049,462,761/312,698
  6. Step 6: Final answer
    x = 751,682.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.