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Finding the Third Proportional to 414,020 and 845,455

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Solution

The third proportional to 414,020 and 845,455 is: 1,726,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,020 : 845,455 = 845,455 : x
  2. Step 2: Convert to fraction form
    414,020/845,455 = 845,455/x
  3. Step 3: Cross multiply
    414,020x = 845,455 × 845,455
  4. Step 4: Simplify right side
    414,020x = 714,794,157,025
  5. Step 5: Solve for x
    x = 714,794,157,025/414,020
  6. Step 6: Final answer
    x = 1,726,472.53

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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.