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Finding the Third Proportional to 339,720.75 and 525,344.06

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Solution

The third proportional to 339,720.75 and 525,344.06 is: 812,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,720.75 : 525,344.06 = 525,344.06 : x
  2. Step 2: Convert to fraction form
    339,720.75/525,344.06 = 525,344.06/x
  3. Step 3: Cross multiply
    339,720.75x = 525,344.06 × 525,344.06
  4. Step 4: Simplify right side
    339,720.75x = 275,986,384,004.00
  5. Step 5: Solve for x
    x = 275,986,384,004.00/339,720.75
  6. Step 6: Final answer
    x = 812,391.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.