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Finding the Third Proportional to 432,948 and 949,546.50

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Solution

The third proportional to 432,948 and 949,546.50 is: 2,082,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,948 : 949,546.50 = 949,546.50 : x
  2. Step 2: Convert to fraction form
    432,948/949,546.50 = 949,546.50/x
  3. Step 3: Cross multiply
    432,948x = 949,546.50 × 949,546.50
  4. Step 4: Simplify right side
    432,948x = 901,638,555,662.25
  5. Step 5: Solve for x
    x = 901,638,555,662.25/432,948
  6. Step 6: Final answer
    x = 2,082,556.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.