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Finding the Third Proportional to 253,330 and 395,331

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Solution

The third proportional to 253,330 and 395,331 is: 616,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,330 : 395,331 = 395,331 : x
  2. Step 2: Convert to fraction form
    253,330/395,331 = 395,331/x
  3. Step 3: Cross multiply
    253,330x = 395,331 × 395,331
  4. Step 4: Simplify right side
    253,330x = 156,286,599,561
  5. Step 5: Solve for x
    x = 156,286,599,561/253,330
  6. Step 6: Final answer
    x = 616,928.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.