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Finding the Third Proportional to 415,698 and 897,820

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Solution

The third proportional to 415,698 and 897,820 is: 1,939,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,698 : 897,820 = 897,820 : x
  2. Step 2: Convert to fraction form
    415,698/897,820 = 897,820/x
  3. Step 3: Cross multiply
    415,698x = 897,820 × 897,820
  4. Step 4: Simplify right side
    415,698x = 806,080,752,400
  5. Step 5: Solve for x
    x = 806,080,752,400/415,698
  6. Step 6: Final answer
    x = 1,939,101.83

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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.