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Finding the Third Proportional to 119,217 and 257,793

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Solution

The third proportional to 119,217 and 257,793 is: 557,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,217 : 257,793 = 257,793 : x
  2. Step 2: Convert to fraction form
    119,217/257,793 = 257,793/x
  3. Step 3: Cross multiply
    119,217x = 257,793 × 257,793
  4. Step 4: Simplify right side
    119,217x = 66,457,230,849
  5. Step 5: Solve for x
    x = 66,457,230,849/119,217
  6. Step 6: Final answer
    x = 557,447.60

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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.