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Finding the Third Proportional to 339,102 and 730,690

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Solution

The third proportional to 339,102 and 730,690 is: 1,574,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,102 : 730,690 = 730,690 : x
  2. Step 2: Convert to fraction form
    339,102/730,690 = 730,690/x
  3. Step 3: Cross multiply
    339,102x = 730,690 × 730,690
  4. Step 4: Simplify right side
    339,102x = 533,907,876,100
  5. Step 5: Solve for x
    x = 533,907,876,100/339,102
  6. Step 6: Final answer
    x = 1,574,475.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.