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Finding the Third Proportional to 55,142 and 119,617

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Solution

The third proportional to 55,142 and 119,617 is: 259,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,142 : 119,617 = 119,617 : x
  2. Step 2: Convert to fraction form
    55,142/119,617 = 119,617/x
  3. Step 3: Cross multiply
    55,142x = 119,617 × 119,617
  4. Step 4: Simplify right side
    55,142x = 14,308,226,689
  5. Step 5: Solve for x
    x = 14,308,226,689/55,142
  6. Step 6: Final answer
    x = 259,479.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.