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Finding the Third Proportional to 407,903 and 874,854

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Solution

The third proportional to 407,903 and 874,854 is: 1,876,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,903 : 874,854 = 874,854 : x
  2. Step 2: Convert to fraction form
    407,903/874,854 = 874,854/x
  3. Step 3: Cross multiply
    407,903x = 874,854 × 874,854
  4. Step 4: Simplify right side
    407,903x = 765,369,521,316
  5. Step 5: Solve for x
    x = 765,369,521,316/407,903
  6. Step 6: Final answer
    x = 1,876,351.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.