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Finding the Third Proportional to 61,776 and 134,880

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Solution

The third proportional to 61,776 and 134,880 is: 294,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,776 : 134,880 = 134,880 : x
  2. Step 2: Convert to fraction form
    61,776/134,880 = 134,880/x
  3. Step 3: Cross multiply
    61,776x = 134,880 × 134,880
  4. Step 4: Simplify right side
    61,776x = 18,192,614,400
  5. Step 5: Solve for x
    x = 18,192,614,400/61,776
  6. Step 6: Final answer
    x = 294,493.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.