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Finding the Third Proportional to 338,536 and 720,936

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Solution

The third proportional to 338,536 and 720,936 is: 1,535,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,536 : 720,936 = 720,936 : x
  2. Step 2: Convert to fraction form
    338,536/720,936 = 720,936/x
  3. Step 3: Cross multiply
    338,536x = 720,936 × 720,936
  4. Step 4: Simplify right side
    338,536x = 519,748,716,096
  5. Step 5: Solve for x
    x = 519,748,716,096/338,536
  6. Step 6: Final answer
    x = 1,535,283.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.