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Finding the Third Proportional to 258,162.19 and 559,213.88

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Solution

The third proportional to 258,162.19 and 559,213.88 is: 1,211,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,162.19 : 559,213.88 = 559,213.88 : x
  2. Step 2: Convert to fraction form
    258,162.19/559,213.88 = 559,213.88/x
  3. Step 3: Cross multiply
    258,162.19x = 559,213.88 × 559,213.88
  4. Step 4: Simplify right side
    258,162.19x = 312,720,157,992.52
  5. Step 5: Solve for x
    x = 312,720,157,992.52/258,162.19
  6. Step 6: Final answer
    x = 1,211,332.15

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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.