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Finding the Third Proportional to 320,005.69 and 706,537.69

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Solution

The third proportional to 320,005.69 and 706,537.69 is: 1,559,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,005.69 : 706,537.69 = 706,537.69 : x
  2. Step 2: Convert to fraction form
    320,005.69/706,537.69 = 706,537.69/x
  3. Step 3: Cross multiply
    320,005.69x = 706,537.69 × 706,537.69
  4. Step 4: Simplify right side
    320,005.69x = 499,195,503,857.85
  5. Step 5: Solve for x
    x = 499,195,503,857.85/320,005.69
  6. Step 6: Final answer
    x = 1,559,958.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.