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Finding the Third Proportional to 252,508.50 and 420,799.50

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Solution

The third proportional to 252,508.50 and 420,799.50 is: 701,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,508.50 : 420,799.50 = 420,799.50 : x
  2. Step 2: Convert to fraction form
    252,508.50/420,799.50 = 420,799.50/x
  3. Step 3: Cross multiply
    252,508.50x = 420,799.50 × 420,799.50
  4. Step 4: Simplify right side
    252,508.50x = 177,072,219,200.25
  5. Step 5: Solve for x
    x = 177,072,219,200.25/252,508.50
  6. Step 6: Final answer
    x = 701,252.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.