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Finding the Third Proportional to 48,688 and 71,880

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Solution

The third proportional to 48,688 and 71,880 is: 106,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,688 : 71,880 = 71,880 : x
  2. Step 2: Convert to fraction form
    48,688/71,880 = 71,880/x
  3. Step 3: Cross multiply
    48,688x = 71,880 × 71,880
  4. Step 4: Simplify right side
    48,688x = 5,166,734,400
  5. Step 5: Solve for x
    x = 5,166,734,400/48,688
  6. Step 6: Final answer
    x = 106,119.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.