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Finding the Third Proportional to 407,937 and 874,878

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Solution

The third proportional to 407,937 and 874,878 is: 1,876,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,937 : 874,878 = 874,878 : x
  2. Step 2: Convert to fraction form
    407,937/874,878 = 874,878/x
  3. Step 3: Cross multiply
    407,937x = 874,878 × 874,878
  4. Step 4: Simplify right side
    407,937x = 765,411,514,884
  5. Step 5: Solve for x
    x = 765,411,514,884/407,937
  6. Step 6: Final answer
    x = 1,876,298.34

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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.