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Finding the Third Proportional to 319,418.16 and 703,648.97

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Solution

The third proportional to 319,418.16 and 703,648.97 is: 1,550,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,418.16 : 703,648.97 = 703,648.97 : x
  2. Step 2: Convert to fraction form
    319,418.16/703,648.97 = 703,648.97/x
  3. Step 3: Cross multiply
    319,418.16x = 703,648.97 × 703,648.97
  4. Step 4: Simplify right side
    319,418.16x = 495,121,871,222.94
  5. Step 5: Solve for x
    x = 495,121,871,222.94/319,418.16
  6. Step 6: Final answer
    x = 1,550,074.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.