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Finding the Third Proportional to 397,323 and 868,920

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Solution

The third proportional to 397,323 and 868,920 is: 1,900,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,323 : 868,920 = 868,920 : x
  2. Step 2: Convert to fraction form
    397,323/868,920 = 868,920/x
  3. Step 3: Cross multiply
    397,323x = 868,920 × 868,920
  4. Step 4: Simplify right side
    397,323x = 755,021,966,400
  5. Step 5: Solve for x
    x = 755,021,966,400/397,323
  6. Step 6: Final answer
    x = 1,900,272.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.