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Finding the Third Proportional to 396,904 and 857,470

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Solution

The third proportional to 396,904 and 857,470 is: 1,852,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,904 : 857,470 = 857,470 : x
  2. Step 2: Convert to fraction form
    396,904/857,470 = 857,470/x
  3. Step 3: Cross multiply
    396,904x = 857,470 × 857,470
  4. Step 4: Simplify right side
    396,904x = 735,254,800,900
  5. Step 5: Solve for x
    x = 735,254,800,900/396,904
  6. Step 6: Final answer
    x = 1,852,475.16

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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.