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Finding the Third Proportional to 407,208 and 876,852

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Solution

The third proportional to 407,208 and 876,852 is: 1,888,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,208 : 876,852 = 876,852 : x
  2. Step 2: Convert to fraction form
    407,208/876,852 = 876,852/x
  3. Step 3: Cross multiply
    407,208x = 876,852 × 876,852
  4. Step 4: Simplify right side
    407,208x = 768,869,429,904
  5. Step 5: Solve for x
    x = 768,869,429,904/407,208
  6. Step 6: Final answer
    x = 1,888,149.13

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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.