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Finding the Third Proportional to 408,136 and 643,505

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Solution

The third proportional to 408,136 and 643,505 is: 1,014,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,136 : 643,505 = 643,505 : x
  2. Step 2: Convert to fraction form
    408,136/643,505 = 643,505/x
  3. Step 3: Cross multiply
    408,136x = 643,505 × 643,505
  4. Step 4: Simplify right side
    408,136x = 414,098,685,025
  5. Step 5: Solve for x
    x = 414,098,685,025/408,136
  6. Step 6: Final answer
    x = 1,014,609.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.