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Finding the Third Proportional to 409,086 and 875,029

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Solution

The third proportional to 409,086 and 875,029 is: 1,871,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,086 : 875,029 = 875,029 : x
  2. Step 2: Convert to fraction form
    409,086/875,029 = 875,029/x
  3. Step 3: Cross multiply
    409,086x = 875,029 × 875,029
  4. Step 4: Simplify right side
    409,086x = 765,675,750,841
  5. Step 5: Solve for x
    x = 765,675,750,841/409,086
  6. Step 6: Final answer
    x = 1,871,674.30

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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.