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Finding the Third Proportional to 148,542.75 and 320,758.50

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Solution

The third proportional to 148,542.75 and 320,758.50 is: 692,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,542.75 : 320,758.50 = 320,758.50 : x
  2. Step 2: Convert to fraction form
    148,542.75/320,758.50 = 320,758.50/x
  3. Step 3: Cross multiply
    148,542.75x = 320,758.50 × 320,758.50
  4. Step 4: Simplify right side
    148,542.75x = 102,886,015,322.25
  5. Step 5: Solve for x
    x = 102,886,015,322.25/148,542.75
  6. Step 6: Final answer
    x = 692,635.72

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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.