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Finding the Third Proportional to 55,502 and 119,870

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Solution

The third proportional to 55,502 and 119,870 is: 258,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,502 : 119,870 = 119,870 : x
  2. Step 2: Convert to fraction form
    55,502/119,870 = 119,870/x
  3. Step 3: Cross multiply
    55,502x = 119,870 × 119,870
  4. Step 4: Simplify right side
    55,502x = 14,368,816,900
  5. Step 5: Solve for x
    x = 14,368,816,900/55,502
  6. Step 6: Final answer
    x = 258,888.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.