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Finding the Third Proportional to 257,052 and 395,370

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Solution

The third proportional to 257,052 and 395,370 is: 608,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,052 : 395,370 = 395,370 : x
  2. Step 2: Convert to fraction form
    257,052/395,370 = 395,370/x
  3. Step 3: Cross multiply
    257,052x = 395,370 × 395,370
  4. Step 4: Simplify right side
    257,052x = 156,317,436,900
  5. Step 5: Solve for x
    x = 156,317,436,900/257,052
  6. Step 6: Final answer
    x = 608,116.01

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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.