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Finding the Third Proportional to 119,970 and 258,102

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Solution

The third proportional to 119,970 and 258,102 is: 555,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,970 : 258,102 = 258,102 : x
  2. Step 2: Convert to fraction form
    119,970/258,102 = 258,102/x
  3. Step 3: Cross multiply
    119,970x = 258,102 × 258,102
  4. Step 4: Simplify right side
    119,970x = 66,616,642,404
  5. Step 5: Solve for x
    x = 66,616,642,404/119,970
  6. Step 6: Final answer
    x = 555,277.51

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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.