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Finding the Third Proportional to 397,721 and 858,470

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Solution

The third proportional to 397,721 and 858,470 is: 1,852,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,721 : 858,470 = 858,470 : x
  2. Step 2: Convert to fraction form
    397,721/858,470 = 858,470/x
  3. Step 3: Cross multiply
    397,721x = 858,470 × 858,470
  4. Step 4: Simplify right side
    397,721x = 736,970,740,900
  5. Step 5: Solve for x
    x = 736,970,740,900/397,721
  6. Step 6: Final answer
    x = 1,852,984.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.