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Finding the Third Proportional to 406,287 and 875,011

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Solution

The third proportional to 406,287 and 875,011 is: 1,884,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,287 : 875,011 = 875,011 : x
  2. Step 2: Convert to fraction form
    406,287/875,011 = 875,011/x
  3. Step 3: Cross multiply
    406,287x = 875,011 × 875,011
  4. Step 4: Simplify right side
    406,287x = 765,644,250,121
  5. Step 5: Solve for x
    x = 765,644,250,121/406,287
  6. Step 6: Final answer
    x = 1,884,491.14

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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.