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Finding the Third Proportional to 119,871 and 258,423

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Solution

The third proportional to 119,871 and 258,423 is: 557,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,871 : 258,423 = 258,423 : x
  2. Step 2: Convert to fraction form
    119,871/258,423 = 258,423/x
  3. Step 3: Cross multiply
    119,871x = 258,423 × 258,423
  4. Step 4: Simplify right side
    119,871x = 66,782,446,929
  5. Step 5: Solve for x
    x = 66,782,446,929/119,871
  6. Step 6: Final answer
    x = 557,119.29

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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.