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Finding the Third Proportional to 282,579 and 396,092.50

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Solution

The third proportional to 282,579 and 396,092.50 is: 555,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,579 : 396,092.50 = 396,092.50 : x
  2. Step 2: Convert to fraction form
    282,579/396,092.50 = 396,092.50/x
  3. Step 3: Cross multiply
    282,579x = 396,092.50 × 396,092.50
  4. Step 4: Simplify right side
    282,579x = 156,889,268,556.25
  5. Step 5: Solve for x
    x = 156,889,268,556.25/282,579
  6. Step 6: Final answer
    x = 555,204.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.