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Finding the Third Proportional to 315,632.25 and 670,689

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Solution

The third proportional to 315,632.25 and 670,689 is: 1,425,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,632.25 : 670,689 = 670,689 : x
  2. Step 2: Convert to fraction form
    315,632.25/670,689 = 670,689/x
  3. Step 3: Cross multiply
    315,632.25x = 670,689 × 670,689
  4. Step 4: Simplify right side
    315,632.25x = 449,823,734,721
  5. Step 5: Solve for x
    x = 449,823,734,721/315,632.25
  6. Step 6: Final answer
    x = 1,425,151.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.