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Finding the Third Proportional to 391,425.75 and 599,778

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Solution

The third proportional to 391,425.75 and 599,778 is: 919,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,425.75 : 599,778 = 599,778 : x
  2. Step 2: Convert to fraction form
    391,425.75/599,778 = 599,778/x
  3. Step 3: Cross multiply
    391,425.75x = 599,778 × 599,778
  4. Step 4: Simplify right side
    391,425.75x = 359,733,649,284
  5. Step 5: Solve for x
    x = 359,733,649,284/391,425.75
  6. Step 6: Final answer
    x = 919,034.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.