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Finding the Third Proportional to 139,905 and 301,923

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Solution

The third proportional to 139,905 and 301,923 is: 651,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,905 : 301,923 = 301,923 : x
  2. Step 2: Convert to fraction form
    139,905/301,923 = 301,923/x
  3. Step 3: Cross multiply
    139,905x = 301,923 × 301,923
  4. Step 4: Simplify right side
    139,905x = 91,157,497,929
  5. Step 5: Solve for x
    x = 91,157,497,929/139,905
  6. Step 6: Final answer
    x = 651,567.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.