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Finding the Third Proportional to 413,878 and 886,788

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Solution

The third proportional to 413,878 and 886,788 is: 1,900,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,878 : 886,788 = 886,788 : x
  2. Step 2: Convert to fraction form
    413,878/886,788 = 886,788/x
  3. Step 3: Cross multiply
    413,878x = 886,788 × 886,788
  4. Step 4: Simplify right side
    413,878x = 786,392,956,944
  5. Step 5: Solve for x
    x = 786,392,956,944/413,878
  6. Step 6: Final answer
    x = 1,900,059.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.