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Finding the Third Proportional to 312,109.50 and 673,972.50

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Solution

The third proportional to 312,109.50 and 673,972.50 is: 1,455,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,109.50 : 673,972.50 = 673,972.50 : x
  2. Step 2: Convert to fraction form
    312,109.50/673,972.50 = 673,972.50/x
  3. Step 3: Cross multiply
    312,109.50x = 673,972.50 × 673,972.50
  4. Step 4: Simplify right side
    312,109.50x = 454,238,930,756.25
  5. Step 5: Solve for x
    x = 454,238,930,756.25/312,109.50
  6. Step 6: Final answer
    x = 1,455,383.23

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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.