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Finding the Third Proportional to 63,906 and 138,960

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Solution

The third proportional to 63,906 and 138,960 is: 302,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,906 : 138,960 = 138,960 : x
  2. Step 2: Convert to fraction form
    63,906/138,960 = 138,960/x
  3. Step 3: Cross multiply
    63,906x = 138,960 × 138,960
  4. Step 4: Simplify right side
    63,906x = 19,309,881,600
  5. Step 5: Solve for x
    x = 19,309,881,600/63,906
  6. Step 6: Final answer
    x = 302,160.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.