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Finding the Third Proportional to 406,106 and 893,212

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Solution

The third proportional to 406,106 and 893,212 is: 1,964,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,106 : 893,212 = 893,212 : x
  2. Step 2: Convert to fraction form
    406,106/893,212 = 893,212/x
  3. Step 3: Cross multiply
    406,106x = 893,212 × 893,212
  4. Step 4: Simplify right side
    406,106x = 797,827,676,944
  5. Step 5: Solve for x
    x = 797,827,676,944/406,106
  6. Step 6: Final answer
    x = 1,964,579.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.