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Finding the Third Proportional to 253,544 and 392,390

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Solution

The third proportional to 253,544 and 392,390 is: 607,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,544 : 392,390 = 392,390 : x
  2. Step 2: Convert to fraction form
    253,544/392,390 = 392,390/x
  3. Step 3: Cross multiply
    253,544x = 392,390 × 392,390
  4. Step 4: Simplify right side
    253,544x = 153,969,912,100
  5. Step 5: Solve for x
    x = 153,969,912,100/253,544
  6. Step 6: Final answer
    x = 607,270.98

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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.