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Finding the Third Proportional to 148,819.50 and 320,964.75

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Solution

The third proportional to 148,819.50 and 320,964.75 is: 692,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,819.50 : 320,964.75 = 320,964.75 : x
  2. Step 2: Convert to fraction form
    148,819.50/320,964.75 = 320,964.75/x
  3. Step 3: Cross multiply
    148,819.50x = 320,964.75 × 320,964.75
  4. Step 4: Simplify right side
    148,819.50x = 103,018,370,742.56
  5. Step 5: Solve for x
    x = 103,018,370,742.56/148,819.50
  6. Step 6: Final answer
    x = 692,237.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.