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Finding the Third Proportional to 358,593.75 and 780,279.75

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Solution

The third proportional to 358,593.75 and 780,279.75 is: 1,697,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,593.75 : 780,279.75 = 780,279.75 : x
  2. Step 2: Convert to fraction form
    358,593.75/780,279.75 = 780,279.75/x
  3. Step 3: Cross multiply
    358,593.75x = 780,279.75 × 780,279.75
  4. Step 4: Simplify right side
    358,593.75x = 608,836,488,260.06
  5. Step 5: Solve for x
    x = 608,836,488,260.06/358,593.75
  6. Step 6: Final answer
    x = 1,697,844.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.