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Finding the Third Proportional to 257,048 and 395,364

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Solution

The third proportional to 257,048 and 395,364 is: 608,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,048 : 395,364 = 395,364 : x
  2. Step 2: Convert to fraction form
    257,048/395,364 = 395,364/x
  3. Step 3: Cross multiply
    257,048x = 395,364 × 395,364
  4. Step 4: Simplify right side
    257,048x = 156,312,692,496
  5. Step 5: Solve for x
    x = 156,312,692,496/257,048
  6. Step 6: Final answer
    x = 608,107.02

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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.