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Finding the Third Proportional to 420,777 and 636,201

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Solution

The third proportional to 420,777 and 636,201 is: 961,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,777 : 636,201 = 636,201 : x
  2. Step 2: Convert to fraction form
    420,777/636,201 = 636,201/x
  3. Step 3: Cross multiply
    420,777x = 636,201 × 636,201
  4. Step 4: Simplify right side
    420,777x = 404,751,712,401
  5. Step 5: Solve for x
    x = 404,751,712,401/420,777
  6. Step 6: Final answer
    x = 961,915.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.