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Finding the Third Proportional to 315,616.50 and 683,721

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Solution

The third proportional to 315,616.50 and 683,721 is: 1,481,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,616.50 : 683,721 = 683,721 : x
  2. Step 2: Convert to fraction form
    315,616.50/683,721 = 683,721/x
  3. Step 3: Cross multiply
    315,616.50x = 683,721 × 683,721
  4. Step 4: Simplify right side
    315,616.50x = 467,474,405,841
  5. Step 5: Solve for x
    x = 467,474,405,841/315,616.50
  6. Step 6: Final answer
    x = 1,481,146.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.