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Finding the Third Proportional to 405,229 and 881,808

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Solution

The third proportional to 405,229 and 881,808 is: 1,918,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,229 : 881,808 = 881,808 : x
  2. Step 2: Convert to fraction form
    405,229/881,808 = 881,808/x
  3. Step 3: Cross multiply
    405,229x = 881,808 × 881,808
  4. Step 4: Simplify right side
    405,229x = 777,585,348,864
  5. Step 5: Solve for x
    x = 777,585,348,864/405,229
  6. Step 6: Final answer
    x = 1,918,878.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.