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Finding the Third Proportional to 117,580 and 258,488

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Solution

The third proportional to 117,580 and 258,488 is: 568,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,580 : 258,488 = 258,488 : x
  2. Step 2: Convert to fraction form
    117,580/258,488 = 258,488/x
  3. Step 3: Cross multiply
    117,580x = 258,488 × 258,488
  4. Step 4: Simplify right side
    117,580x = 66,816,046,144
  5. Step 5: Solve for x
    x = 66,816,046,144/117,580
  6. Step 6: Final answer
    x = 568,260.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.