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Finding the Third Proportional to 415,684 and 897,788

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Solution

The third proportional to 415,684 and 897,788 is: 1,939,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,684 : 897,788 = 897,788 : x
  2. Step 2: Convert to fraction form
    415,684/897,788 = 897,788/x
  3. Step 3: Cross multiply
    415,684x = 897,788 × 897,788
  4. Step 4: Simplify right side
    415,684x = 806,023,292,944
  5. Step 5: Solve for x
    x = 806,023,292,944/415,684
  6. Step 6: Final answer
    x = 1,939,028.91

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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.