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Finding the Third Proportional to 391,182.75 and 558,339.75

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Solution

The third proportional to 391,182.75 and 558,339.75 is: 796,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,182.75 : 558,339.75 = 558,339.75 : x
  2. Step 2: Convert to fraction form
    391,182.75/558,339.75 = 558,339.75/x
  3. Step 3: Cross multiply
    391,182.75x = 558,339.75 × 558,339.75
  4. Step 4: Simplify right side
    391,182.75x = 311,743,276,430.06
  5. Step 5: Solve for x
    x = 311,743,276,430.06/391,182.75
  6. Step 6: Final answer
    x = 796,924.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.