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Finding the Third Proportional to 409,106 and 875,074

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Solution

The third proportional to 409,106 and 875,074 is: 1,871,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,106 : 875,074 = 875,074 : x
  2. Step 2: Convert to fraction form
    409,106/875,074 = 875,074/x
  3. Step 3: Cross multiply
    409,106x = 875,074 × 875,074
  4. Step 4: Simplify right side
    409,106x = 765,754,505,476
  5. Step 5: Solve for x
    x = 765,754,505,476/409,106
  6. Step 6: Final answer
    x = 1,871,775.30

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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.