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Finding the Third Proportional to 409,089 and 875,035

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Solution

The third proportional to 409,089 and 875,035 is: 1,871,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,089 : 875,035 = 875,035 : x
  2. Step 2: Convert to fraction form
    409,089/875,035 = 875,035/x
  3. Step 3: Cross multiply
    409,089x = 875,035 × 875,035
  4. Step 4: Simplify right side
    409,089x = 765,686,251,225
  5. Step 5: Solve for x
    x = 765,686,251,225/409,089
  6. Step 6: Final answer
    x = 1,871,686.24

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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.