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Finding the Third Proportional to 418,536.75 and 665,169.75

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Solution

The third proportional to 418,536.75 and 665,169.75 is: 1,057,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,536.75 : 665,169.75 = 665,169.75 : x
  2. Step 2: Convert to fraction form
    418,536.75/665,169.75 = 665,169.75/x
  3. Step 3: Cross multiply
    418,536.75x = 665,169.75 × 665,169.75
  4. Step 4: Simplify right side
    418,536.75x = 442,450,796,315.06
  5. Step 5: Solve for x
    x = 442,450,796,315.06/418,536.75
  6. Step 6: Final answer
    x = 1,057,137.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.