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Finding the Third Proportional to 371,853 and 814,878

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Solution

The third proportional to 371,853 and 814,878 is: 1,785,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,853 : 814,878 = 814,878 : x
  2. Step 2: Convert to fraction form
    371,853/814,878 = 814,878/x
  3. Step 3: Cross multiply
    371,853x = 814,878 × 814,878
  4. Step 4: Simplify right side
    371,853x = 664,026,154,884
  5. Step 5: Solve for x
    x = 664,026,154,884/371,853
  6. Step 6: Final answer
    x = 1,785,722.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.