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Finding the Third Proportional to 517,873.50 and 787,623.75

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Solution

The third proportional to 517,873.50 and 787,623.75 is: 1,197,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,873.50 : 787,623.75 = 787,623.75 : x
  2. Step 2: Convert to fraction form
    517,873.50/787,623.75 = 787,623.75/x
  3. Step 3: Cross multiply
    517,873.50x = 787,623.75 × 787,623.75
  4. Step 4: Simplify right side
    517,873.50x = 620,351,171,564.06
  5. Step 5: Solve for x
    x = 620,351,171,564.06/517,873.50
  6. Step 6: Final answer
    x = 1,197,881.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.