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Finding the Third Proportional to 315,044 and 682,576

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Solution

The third proportional to 315,044 and 682,576 is: 1,478,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,044 : 682,576 = 682,576 : x
  2. Step 2: Convert to fraction form
    315,044/682,576 = 682,576/x
  3. Step 3: Cross multiply
    315,044x = 682,576 × 682,576
  4. Step 4: Simplify right side
    315,044x = 465,909,995,776
  5. Step 5: Solve for x
    x = 465,909,995,776/315,044
  6. Step 6: Final answer
    x = 1,478,872.78

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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.