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Finding the Third Proportional to 258,121.69 and 553,609.37

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Solution

The third proportional to 258,121.69 and 553,609.37 is: 1,187,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,121.69 : 553,609.37 = 553,609.37 : x
  2. Step 2: Convert to fraction form
    258,121.69/553,609.37 = 553,609.37/x
  3. Step 3: Cross multiply
    258,121.69x = 553,609.37 × 553,609.37
  4. Step 4: Simplify right side
    258,121.69x = 306,483,335,762.82
  5. Step 5: Solve for x
    x = 306,483,335,762.82/258,121.69
  6. Step 6: Final answer
    x = 1,187,359.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.