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Finding the Third Proportional to 339,160 and 736,640

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Solution

The third proportional to 339,160 and 736,640 is: 1,599,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,160 : 736,640 = 736,640 : x
  2. Step 2: Convert to fraction form
    339,160/736,640 = 736,640/x
  3. Step 3: Cross multiply
    339,160x = 736,640 × 736,640
  4. Step 4: Simplify right side
    339,160x = 542,638,489,600
  5. Step 5: Solve for x
    x = 542,638,489,600/339,160
  6. Step 6: Final answer
    x = 1,599,948.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.