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Finding the Third Proportional to 58,538 and 138,137

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Solution

The third proportional to 58,538 and 138,137 is: 325,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,538 : 138,137 = 138,137 : x
  2. Step 2: Convert to fraction form
    58,538/138,137 = 138,137/x
  3. Step 3: Cross multiply
    58,538x = 138,137 × 138,137
  4. Step 4: Simplify right side
    58,538x = 19,081,830,769
  5. Step 5: Solve for x
    x = 19,081,830,769/58,538
  6. Step 6: Final answer
    x = 325,973.40

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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.