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Finding the Third Proportional to 60,916 and 130,880

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Solution

The third proportional to 60,916 and 130,880 is: 281,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,916 : 130,880 = 130,880 : x
  2. Step 2: Convert to fraction form
    60,916/130,880 = 130,880/x
  3. Step 3: Cross multiply
    60,916x = 130,880 × 130,880
  4. Step 4: Simplify right side
    60,916x = 17,129,574,400
  5. Step 5: Solve for x
    x = 17,129,574,400/60,916
  6. Step 6: Final answer
    x = 281,199.92

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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.