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Finding the Third Proportional to 414,136 and 620,564

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Solution

The third proportional to 414,136 and 620,564 is: 929,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,136 : 620,564 = 620,564 : x
  2. Step 2: Convert to fraction form
    414,136/620,564 = 620,564/x
  3. Step 3: Cross multiply
    414,136x = 620,564 × 620,564
  4. Step 4: Simplify right side
    414,136x = 385,099,678,096
  5. Step 5: Solve for x
    x = 385,099,678,096/414,136
  6. Step 6: Final answer
    x = 929,886.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.