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Finding the Third Proportional to 338,724 and 722,440

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Solution

The third proportional to 338,724 and 722,440 is: 1,540,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,724 : 722,440 = 722,440 : x
  2. Step 2: Convert to fraction form
    338,724/722,440 = 722,440/x
  3. Step 3: Cross multiply
    338,724x = 722,440 × 722,440
  4. Step 4: Simplify right side
    338,724x = 521,919,553,600
  5. Step 5: Solve for x
    x = 521,919,553,600/338,724
  6. Step 6: Final answer
    x = 1,540,840.19

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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.