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Finding the Third Proportional to 63,944 and 139,129

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Solution

The third proportional to 63,944 and 139,129 is: 302,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,944 : 139,129 = 139,129 : x
  2. Step 2: Convert to fraction form
    63,944/139,129 = 139,129/x
  3. Step 3: Cross multiply
    63,944x = 139,129 × 139,129
  4. Step 4: Simplify right side
    63,944x = 19,356,878,641
  5. Step 5: Solve for x
    x = 19,356,878,641/63,944
  6. Step 6: Final answer
    x = 302,716.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.