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Finding the Third Proportional to 30,880 and 66,560

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Solution

The third proportional to 30,880 and 66,560 is: 143,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880 : 66,560 = 66,560 : x
  2. Step 2: Convert to fraction form
    30,880/66,560 = 66,560/x
  3. Step 3: Cross multiply
    30,880x = 66,560 × 66,560
  4. Step 4: Simplify right side
    30,880x = 4,430,233,600
  5. Step 5: Solve for x
    x = 4,430,233,600/30,880
  6. Step 6: Final answer
    x = 143,466.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.