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Finding the Third Proportional to 409,087 and 875,031

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Solution

The third proportional to 409,087 and 875,031 is: 1,871,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,087 : 875,031 = 875,031 : x
  2. Step 2: Convert to fraction form
    409,087/875,031 = 875,031/x
  3. Step 3: Cross multiply
    409,087x = 875,031 × 875,031
  4. Step 4: Simplify right side
    409,087x = 765,679,250,961
  5. Step 5: Solve for x
    x = 765,679,250,961/409,087
  6. Step 6: Final answer
    x = 1,871,678.28

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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.