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Finding the Third Proportional to 119,290 and 257,262

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Solution

The third proportional to 119,290 and 257,262 is: 554,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,290 : 257,262 = 257,262 : x
  2. Step 2: Convert to fraction form
    119,290/257,262 = 257,262/x
  3. Step 3: Cross multiply
    119,290x = 257,262 × 257,262
  4. Step 4: Simplify right side
    119,290x = 66,183,736,644
  5. Step 5: Solve for x
    x = 66,183,736,644/119,290
  6. Step 6: Final answer
    x = 554,813.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.