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Finding the Third Proportional to 270,907.50 and 398,505

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Solution

The third proportional to 270,907.50 and 398,505 is: 586,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,907.50 : 398,505 = 398,505 : x
  2. Step 2: Convert to fraction form
    270,907.50/398,505 = 398,505/x
  3. Step 3: Cross multiply
    270,907.50x = 398,505 × 398,505
  4. Step 4: Simplify right side
    270,907.50x = 158,806,235,025
  5. Step 5: Solve for x
    x = 158,806,235,025/270,907.50
  6. Step 6: Final answer
    x = 586,200.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.