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Finding the Third Proportional to 56,139 and 120,058

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Solution

The third proportional to 56,139 and 120,058 is: 256,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,139 : 120,058 = 120,058 : x
  2. Step 2: Convert to fraction form
    56,139/120,058 = 120,058/x
  3. Step 3: Cross multiply
    56,139x = 120,058 × 120,058
  4. Step 4: Simplify right side
    56,139x = 14,413,923,364
  5. Step 5: Solve for x
    x = 14,413,923,364/56,139
  6. Step 6: Final answer
    x = 256,754.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.