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Finding the Third Proportional to 254,326.50 and 393,180

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Solution

The third proportional to 254,326.50 and 393,180 is: 607,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,326.50 : 393,180 = 393,180 : x
  2. Step 2: Convert to fraction form
    254,326.50/393,180 = 393,180/x
  3. Step 3: Cross multiply
    254,326.50x = 393,180 × 393,180
  4. Step 4: Simplify right side
    254,326.50x = 154,590,512,400
  5. Step 5: Solve for x
    x = 154,590,512,400/254,326.50
  6. Step 6: Final answer
    x = 607,842.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.