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Finding the Third Proportional to 338,537 and 720,938

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Solution

The third proportional to 338,537 and 720,938 is: 1,535,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,537 : 720,938 = 720,938 : x
  2. Step 2: Convert to fraction form
    338,537/720,938 = 720,938/x
  3. Step 3: Cross multiply
    338,537x = 720,938 × 720,938
  4. Step 4: Simplify right side
    338,537x = 519,751,599,844
  5. Step 5: Solve for x
    x = 519,751,599,844/338,537
  6. Step 6: Final answer
    x = 1,535,287.43

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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.