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Finding the Third Proportional to 278,438 and 424,185

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Solution

The third proportional to 278,438 and 424,185 is: 646,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,438 : 424,185 = 424,185 : x
  2. Step 2: Convert to fraction form
    278,438/424,185 = 424,185/x
  3. Step 3: Cross multiply
    278,438x = 424,185 × 424,185
  4. Step 4: Simplify right side
    278,438x = 179,932,914,225
  5. Step 5: Solve for x
    x = 179,932,914,225/278,438
  6. Step 6: Final answer
    x = 646,222.55

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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.