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Finding the Third Proportional to 255,015 and 393,493.50

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Solution

The third proportional to 255,015 and 393,493.50 is: 607,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,015 : 393,493.50 = 393,493.50 : x
  2. Step 2: Convert to fraction form
    255,015/393,493.50 = 393,493.50/x
  3. Step 3: Cross multiply
    255,015x = 393,493.50 × 393,493.50
  4. Step 4: Simplify right side
    255,015x = 154,837,134,542.25
  5. Step 5: Solve for x
    x = 154,837,134,542.25/255,015
  6. Step 6: Final answer
    x = 607,168.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.