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Finding the Third Proportional to 395,839.41 and 847,728.28

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Solution

The third proportional to 395,839.41 and 847,728.28 is: 1,815,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,839.41 : 847,728.28 = 847,728.28 : x
  2. Step 2: Convert to fraction form
    395,839.41/847,728.28 = 847,728.28/x
  3. Step 3: Cross multiply
    395,839.41x = 847,728.28 × 847,728.28
  4. Step 4: Simplify right side
    395,839.41x = 718,643,238,831.08
  5. Step 5: Solve for x
    x = 718,643,238,831.08/395,839.41
  6. Step 6: Final answer
    x = 1,815,491.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.