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Finding the Third Proportional to 291,831.75 and 639,023.63

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Solution

The third proportional to 291,831.75 and 639,023.63 is: 1,399,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,831.75 : 639,023.63 = 639,023.63 : x
  2. Step 2: Convert to fraction form
    291,831.75/639,023.63 = 639,023.63/x
  3. Step 3: Cross multiply
    291,831.75x = 639,023.63 × 639,023.63
  4. Step 4: Simplify right side
    291,831.75x = 408,351,193,308.14
  5. Step 5: Solve for x
    x = 408,351,193,308.14/291,831.75
  6. Step 6: Final answer
    x = 1,399,269.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.