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Finding the Third Proportional to 315,552.75 and 679,219.50

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Solution

The third proportional to 315,552.75 and 679,219.50 is: 1,462,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,552.75 : 679,219.50 = 679,219.50 : x
  2. Step 2: Convert to fraction form
    315,552.75/679,219.50 = 679,219.50/x
  3. Step 3: Cross multiply
    315,552.75x = 679,219.50 × 679,219.50
  4. Step 4: Simplify right side
    315,552.75x = 461,339,129,180.25
  5. Step 5: Solve for x
    x = 461,339,129,180.25/315,552.75
  6. Step 6: Final answer
    x = 1,462,003.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.