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Finding the Third Proportional to 258,121.13 and 559,143.38

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Solution

The third proportional to 258,121.13 and 559,143.38 is: 1,211,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,121.13 : 559,143.38 = 559,143.38 : x
  2. Step 2: Convert to fraction form
    258,121.13/559,143.38 = 559,143.38/x
  3. Step 3: Cross multiply
    258,121.13x = 559,143.38 × 559,143.38
  4. Step 4: Simplify right side
    258,121.13x = 312,641,313,806.39
  5. Step 5: Solve for x
    x = 312,641,313,806.39/258,121.13
  6. Step 6: Final answer
    x = 1,211,219.40

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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.