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Finding the Third Proportional to 258,168.38 and 559,225.13

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Solution

The third proportional to 258,168.38 and 559,225.13 is: 1,211,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,168.38 : 559,225.13 = 559,225.13 : x
  2. Step 2: Convert to fraction form
    258,168.38/559,225.13 = 559,225.13/x
  3. Step 3: Cross multiply
    258,168.38x = 559,225.13 × 559,225.13
  4. Step 4: Simplify right side
    258,168.38x = 312,732,740,431.27
  5. Step 5: Solve for x
    x = 312,732,740,431.27/258,168.38
  6. Step 6: Final answer
    x = 1,211,351.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.