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Finding the Third Proportional to 64,863 and 139,731

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Solution

The third proportional to 64,863 and 139,731 is: 301,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,863 : 139,731 = 139,731 : x
  2. Step 2: Convert to fraction form
    64,863/139,731 = 139,731/x
  3. Step 3: Cross multiply
    64,863x = 139,731 × 139,731
  4. Step 4: Simplify right side
    64,863x = 19,524,752,361
  5. Step 5: Solve for x
    x = 19,524,752,361/64,863
  6. Step 6: Final answer
    x = 301,015.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.