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Finding the Third Proportional to 420,180 and 630,564

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Solution

The third proportional to 420,180 and 630,564 is: 946,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,180 : 630,564 = 630,564 : x
  2. Step 2: Convert to fraction form
    420,180/630,564 = 630,564/x
  3. Step 3: Cross multiply
    420,180x = 630,564 × 630,564
  4. Step 4: Simplify right side
    420,180x = 397,610,958,096
  5. Step 5: Solve for x
    x = 397,610,958,096/420,180
  6. Step 6: Final answer
    x = 946,287.21

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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.