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Finding the Third Proportional to 408,090 and 875,145

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Solution

The third proportional to 408,090 and 875,145 is: 1,876,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,090 : 875,145 = 875,145 : x
  2. Step 2: Convert to fraction form
    408,090/875,145 = 875,145/x
  3. Step 3: Cross multiply
    408,090x = 875,145 × 875,145
  4. Step 4: Simplify right side
    408,090x = 765,878,771,025
  5. Step 5: Solve for x
    x = 765,878,771,025/408,090
  6. Step 6: Final answer
    x = 1,876,739.86

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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.