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Finding the Third Proportional to 407,205 and 876,843

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Solution

The third proportional to 407,205 and 876,843 is: 1,888,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,205 : 876,843 = 876,843 : x
  2. Step 2: Convert to fraction form
    407,205/876,843 = 876,843/x
  3. Step 3: Cross multiply
    407,205x = 876,843 × 876,843
  4. Step 4: Simplify right side
    407,205x = 768,853,646,649
  5. Step 5: Solve for x
    x = 768,853,646,649/407,205
  6. Step 6: Final answer
    x = 1,888,124.28

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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.