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Finding the Third Proportional to 278,436.50 and 424,182.75

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Solution

The third proportional to 278,436.50 and 424,182.75 is: 646,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,436.50 : 424,182.75 = 424,182.75 : x
  2. Step 2: Convert to fraction form
    278,436.50/424,182.75 = 424,182.75/x
  3. Step 3: Cross multiply
    278,436.50x = 424,182.75 × 424,182.75
  4. Step 4: Simplify right side
    278,436.50x = 179,931,005,397.56
  5. Step 5: Solve for x
    x = 179,931,005,397.56/278,436.50
  6. Step 6: Final answer
    x = 646,219.18

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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.