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Finding the Third Proportional to 278,976 and 572,640

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Solution

The third proportional to 278,976 and 572,640 is: 1,175,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,976 : 572,640 = 572,640 : x
  2. Step 2: Convert to fraction form
    278,976/572,640 = 572,640/x
  3. Step 3: Cross multiply
    278,976x = 572,640 × 572,640
  4. Step 4: Simplify right side
    278,976x = 327,916,569,600
  5. Step 5: Solve for x
    x = 327,916,569,600/278,976
  6. Step 6: Final answer
    x = 1,175,429.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.