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Finding the Third Proportional to 119,804 and 257,102

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Solution

The third proportional to 119,804 and 257,102 is: 551,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,804 : 257,102 = 257,102 : x
  2. Step 2: Convert to fraction form
    119,804/257,102 = 257,102/x
  3. Step 3: Cross multiply
    119,804x = 257,102 × 257,102
  4. Step 4: Simplify right side
    119,804x = 66,101,438,404
  5. Step 5: Solve for x
    x = 66,101,438,404/119,804
  6. Step 6: Final answer
    x = 551,746.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.