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Finding the Third Proportional to 422,831.25 and 647,642.25

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Solution

The third proportional to 422,831.25 and 647,642.25 is: 991,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,831.25 : 647,642.25 = 647,642.25 : x
  2. Step 2: Convert to fraction form
    422,831.25/647,642.25 = 647,642.25/x
  3. Step 3: Cross multiply
    422,831.25x = 647,642.25 × 647,642.25
  4. Step 4: Simplify right side
    422,831.25x = 419,440,483,985.06
  5. Step 5: Solve for x
    x = 419,440,483,985.06/422,831.25
  6. Step 6: Final answer
    x = 991,980.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.