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Finding the Third Proportional to 119,957 and 258,076

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Solution

The third proportional to 119,957 and 258,076 is: 555,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,957 : 258,076 = 258,076 : x
  2. Step 2: Convert to fraction form
    119,957/258,076 = 258,076/x
  3. Step 3: Cross multiply
    119,957x = 258,076 × 258,076
  4. Step 4: Simplify right side
    119,957x = 66,603,221,776
  5. Step 5: Solve for x
    x = 66,603,221,776/119,957
  6. Step 6: Final answer
    x = 555,225.80

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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.