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Finding the Third Proportional to 312,259.50 and 668,792.25

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Solution

The third proportional to 312,259.50 and 668,792.25 is: 1,432,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,259.50 : 668,792.25 = 668,792.25 : x
  2. Step 2: Convert to fraction form
    312,259.50/668,792.25 = 668,792.25/x
  3. Step 3: Cross multiply
    312,259.50x = 668,792.25 × 668,792.25
  4. Step 4: Simplify right side
    312,259.50x = 447,283,073,660.06
  5. Step 5: Solve for x
    x = 447,283,073,660.06/312,259.50
  6. Step 6: Final answer
    x = 1,432,408.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.