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Finding the Third Proportional to 63,659 and 139,894

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Solution

The third proportional to 63,659 and 139,894 is: 307,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,659 : 139,894 = 139,894 : x
  2. Step 2: Convert to fraction form
    63,659/139,894 = 139,894/x
  3. Step 3: Cross multiply
    63,659x = 139,894 × 139,894
  4. Step 4: Simplify right side
    63,659x = 19,570,331,236
  5. Step 5: Solve for x
    x = 19,570,331,236/63,659
  6. Step 6: Final answer
    x = 307,424.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.