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Finding the Third Proportional to 272,045 and 414,086

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Solution

The third proportional to 272,045 and 414,086 is: 630,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,045 : 414,086 = 414,086 : x
  2. Step 2: Convert to fraction form
    272,045/414,086 = 414,086/x
  3. Step 3: Cross multiply
    272,045x = 414,086 × 414,086
  4. Step 4: Simplify right side
    272,045x = 171,467,215,396
  5. Step 5: Solve for x
    x = 171,467,215,396/272,045
  6. Step 6: Final answer
    x = 630,289.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.