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Finding the Third Proportional to 409,136 and 875,134

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Solution

The third proportional to 409,136 and 875,134 is: 1,871,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,136 : 875,134 = 875,134 : x
  2. Step 2: Convert to fraction form
    409,136/875,134 = 875,134/x
  3. Step 3: Cross multiply
    409,136x = 875,134 × 875,134
  4. Step 4: Simplify right side
    409,136x = 765,859,517,956
  5. Step 5: Solve for x
    x = 765,859,517,956/409,136
  6. Step 6: Final answer
    x = 1,871,894.72

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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.