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Finding the Third Proportional to 257,406 and 393,770.25

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Solution

The third proportional to 257,406 and 393,770.25 is: 602,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,406 : 393,770.25 = 393,770.25 : x
  2. Step 2: Convert to fraction form
    257,406/393,770.25 = 393,770.25/x
  3. Step 3: Cross multiply
    257,406x = 393,770.25 × 393,770.25
  4. Step 4: Simplify right side
    257,406x = 155,055,009,785.06
  5. Step 5: Solve for x
    x = 155,055,009,785.06/257,406
  6. Step 6: Final answer
    x = 602,375.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.