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Finding the Third Proportional to 278,437 and 424,183.50

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Solution

The third proportional to 278,437 and 424,183.50 is: 646,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,437 : 424,183.50 = 424,183.50 : x
  2. Step 2: Convert to fraction form
    278,437/424,183.50 = 424,183.50/x
  3. Step 3: Cross multiply
    278,437x = 424,183.50 × 424,183.50
  4. Step 4: Simplify right side
    278,437x = 179,931,641,672.25
  5. Step 5: Solve for x
    x = 179,931,641,672.25/278,437
  6. Step 6: Final answer
    x = 646,220.30

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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.