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Finding the Third Proportional to 245,638 and 440,732

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Solution

The third proportional to 245,638 and 440,732 is: 790,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,638 : 440,732 = 440,732 : x
  2. Step 2: Convert to fraction form
    245,638/440,732 = 440,732/x
  3. Step 3: Cross multiply
    245,638x = 440,732 × 440,732
  4. Step 4: Simplify right side
    245,638x = 194,244,695,824
  5. Step 5: Solve for x
    x = 194,244,695,824/245,638
  6. Step 6: Final answer
    x = 790,776.25

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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.