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Finding the Third Proportional to 405,625 and 630,564

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Solution

The third proportional to 405,625 and 630,564 is: 980,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,625 : 630,564 = 630,564 : x
  2. Step 2: Convert to fraction form
    405,625/630,564 = 630,564/x
  3. Step 3: Cross multiply
    405,625x = 630,564 × 630,564
  4. Step 4: Simplify right side
    405,625x = 397,610,958,096
  5. Step 5: Solve for x
    x = 397,610,958,096/405,625
  6. Step 6: Final answer
    x = 980,242.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.