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Finding the Third Proportional to 322,860 and 637,440

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Solution

The third proportional to 322,860 and 637,440 is: 1,258,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,860 : 637,440 = 637,440 : x
  2. Step 2: Convert to fraction form
    322,860/637,440 = 637,440/x
  3. Step 3: Cross multiply
    322,860x = 637,440 × 637,440
  4. Step 4: Simplify right side
    322,860x = 406,329,753,600
  5. Step 5: Solve for x
    x = 406,329,753,600/322,860
  6. Step 6: Final answer
    x = 1,258,532.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.