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Finding the Third Proportional to 300,871 and 655,701

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Solution

The third proportional to 300,871 and 655,701 is: 1,428,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,871 : 655,701 = 655,701 : x
  2. Step 2: Convert to fraction form
    300,871/655,701 = 655,701/x
  3. Step 3: Cross multiply
    300,871x = 655,701 × 655,701
  4. Step 4: Simplify right side
    300,871x = 429,943,801,401
  5. Step 5: Solve for x
    x = 429,943,801,401/300,871
  6. Step 6: Final answer
    x = 1,428,997.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.