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Finding the Third Proportional to 56,178 and 120,617

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Solution

The third proportional to 56,178 and 120,617 is: 258,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,178 : 120,617 = 120,617 : x
  2. Step 2: Convert to fraction form
    56,178/120,617 = 120,617/x
  3. Step 3: Cross multiply
    56,178x = 120,617 × 120,617
  4. Step 4: Simplify right side
    56,178x = 14,548,460,689
  5. Step 5: Solve for x
    x = 14,548,460,689/56,178
  6. Step 6: Final answer
    x = 258,970.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.