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Finding the Third Proportional to 7,880 and 11,570

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Solution

The third proportional to 7,880 and 11,570 is: 16,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880 : 11,570 = 11,570 : x
  2. Step 2: Convert to fraction form
    7,880/11,570 = 11,570/x
  3. Step 3: Cross multiply
    7,880x = 11,570 × 11,570
  4. Step 4: Simplify right side
    7,880x = 133,864,900
  5. Step 5: Solve for x
    x = 133,864,900/7,880
  6. Step 6: Final answer
    x = 16,987.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.