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Finding the Third Proportional to 406,484 and 885,351

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Solution

The third proportional to 406,484 and 885,351 is: 1,928,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,484 : 885,351 = 885,351 : x
  2. Step 2: Convert to fraction form
    406,484/885,351 = 885,351/x
  3. Step 3: Cross multiply
    406,484x = 885,351 × 885,351
  4. Step 4: Simplify right side
    406,484x = 783,846,393,201
  5. Step 5: Solve for x
    x = 783,846,393,201/406,484
  6. Step 6: Final answer
    x = 1,928,357.31

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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.