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Finding the Third Proportional to 406,289 and 875,015

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Solution

The third proportional to 406,289 and 875,015 is: 1,884,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,289 : 875,015 = 875,015 : x
  2. Step 2: Convert to fraction form
    406,289/875,015 = 875,015/x
  3. Step 3: Cross multiply
    406,289x = 875,015 × 875,015
  4. Step 4: Simplify right side
    406,289x = 765,651,250,225
  5. Step 5: Solve for x
    x = 765,651,250,225/406,289
  6. Step 6: Final answer
    x = 1,884,499.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.