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Finding the Third Proportional to 58,519 and 138,058

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Solution

The third proportional to 58,519 and 138,058 is: 325,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,519 : 138,058 = 138,058 : x
  2. Step 2: Convert to fraction form
    58,519/138,058 = 138,058/x
  3. Step 3: Cross multiply
    58,519x = 138,058 × 138,058
  4. Step 4: Simplify right side
    58,519x = 19,060,011,364
  5. Step 5: Solve for x
    x = 19,060,011,364/58,519
  6. Step 6: Final answer
    x = 325,706.38

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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.