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Finding the Third Proportional to 312,750 and 681,633.50

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Solution

The third proportional to 312,750 and 681,633.50 is: 1,485,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,750 : 681,633.50 = 681,633.50 : x
  2. Step 2: Convert to fraction form
    312,750/681,633.50 = 681,633.50/x
  3. Step 3: Cross multiply
    312,750x = 681,633.50 × 681,633.50
  4. Step 4: Simplify right side
    312,750x = 464,624,228,322.25
  5. Step 5: Solve for x
    x = 464,624,228,322.25/312,750
  6. Step 6: Final answer
    x = 1,485,609.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.