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Finding the Third Proportional to 27,880 and 59,920

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Solution

The third proportional to 27,880 and 59,920 is: 128,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880 : 59,920 = 59,920 : x
  2. Step 2: Convert to fraction form
    27,880/59,920 = 59,920/x
  3. Step 3: Cross multiply
    27,880x = 59,920 × 59,920
  4. Step 4: Simplify right side
    27,880x = 3,590,406,400
  5. Step 5: Solve for x
    x = 3,590,406,400/27,880
  6. Step 6: Final answer
    x = 128,780.72

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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.