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Finding the Third Proportional to 315,039 and 682,566

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Solution

The third proportional to 315,039 and 682,566 is: 1,478,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,039 : 682,566 = 682,566 : x
  2. Step 2: Convert to fraction form
    315,039/682,566 = 682,566/x
  3. Step 3: Cross multiply
    315,039x = 682,566 × 682,566
  4. Step 4: Simplify right side
    315,039x = 465,896,344,356
  5. Step 5: Solve for x
    x = 465,896,344,356/315,039
  6. Step 6: Final answer
    x = 1,478,852.92

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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.