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Finding the Third Proportional to 55,583 and 119,920

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Solution

The third proportional to 55,583 and 119,920 is: 258,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,583 : 119,920 = 119,920 : x
  2. Step 2: Convert to fraction form
    55,583/119,920 = 119,920/x
  3. Step 3: Cross multiply
    55,583x = 119,920 × 119,920
  4. Step 4: Simplify right side
    55,583x = 14,380,806,400
  5. Step 5: Solve for x
    x = 14,380,806,400/55,583
  6. Step 6: Final answer
    x = 258,726.70

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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.