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Finding the Third Proportional to 362,154 and 517,131

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Solution

The third proportional to 362,154 and 517,131 is: 738,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,154 : 517,131 = 517,131 : x
  2. Step 2: Convert to fraction form
    362,154/517,131 = 517,131/x
  3. Step 3: Cross multiply
    362,154x = 517,131 × 517,131
  4. Step 4: Simplify right side
    362,154x = 267,424,471,161
  5. Step 5: Solve for x
    x = 267,424,471,161/362,154
  6. Step 6: Final answer
    x = 738,427.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.