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Finding the Third Proportional to 245,608 and 440,672

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Solution

The third proportional to 245,608 and 440,672 is: 790,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,608 : 440,672 = 440,672 : x
  2. Step 2: Convert to fraction form
    245,608/440,672 = 440,672/x
  3. Step 3: Cross multiply
    245,608x = 440,672 × 440,672
  4. Step 4: Simplify right side
    245,608x = 194,191,811,584
  5. Step 5: Solve for x
    x = 194,191,811,584/245,608
  6. Step 6: Final answer
    x = 790,657.52

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.