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Finding the Third Proportional to 278,640 and 424,480

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Solution

The third proportional to 278,640 and 424,480 is: 646,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,640 : 424,480 = 424,480 : x
  2. Step 2: Convert to fraction form
    278,640/424,480 = 424,480/x
  3. Step 3: Cross multiply
    278,640x = 424,480 × 424,480
  4. Step 4: Simplify right side
    278,640x = 180,183,270,400
  5. Step 5: Solve for x
    x = 180,183,270,400/278,640
  6. Step 6: Final answer
    x = 646,652.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.