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Finding the Third Proportional to 414,970 and 845,154

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Solution

The third proportional to 414,970 and 845,154 is: 1,721,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,970 : 845,154 = 845,154 : x
  2. Step 2: Convert to fraction form
    414,970/845,154 = 845,154/x
  3. Step 3: Cross multiply
    414,970x = 845,154 × 845,154
  4. Step 4: Simplify right side
    414,970x = 714,285,283,716
  5. Step 5: Solve for x
    x = 714,285,283,716/414,970
  6. Step 6: Final answer
    x = 1,721,293.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.