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Finding the Third Proportional to 119,906 and 258,511

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Solution

The third proportional to 119,906 and 258,511 is: 557,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,906 : 258,511 = 258,511 : x
  2. Step 2: Convert to fraction form
    119,906/258,511 = 258,511/x
  3. Step 3: Cross multiply
    119,906x = 258,511 × 258,511
  4. Step 4: Simplify right side
    119,906x = 66,827,937,121
  5. Step 5: Solve for x
    x = 66,827,937,121/119,906
  6. Step 6: Final answer
    x = 557,336.06

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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.