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Finding the Third Proportional to 58,838 and 138,781

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Solution

The third proportional to 58,838 and 138,781 is: 327,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,838 : 138,781 = 138,781 : x
  2. Step 2: Convert to fraction form
    58,838/138,781 = 138,781/x
  3. Step 3: Cross multiply
    58,838x = 138,781 × 138,781
  4. Step 4: Simplify right side
    58,838x = 19,260,165,961
  5. Step 5: Solve for x
    x = 19,260,165,961/58,838
  6. Step 6: Final answer
    x = 327,342.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.