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Finding the Third Proportional to 70,566 and 102,880

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Solution

The third proportional to 70,566 and 102,880 is: 149,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,566 : 102,880 = 102,880 : x
  2. Step 2: Convert to fraction form
    70,566/102,880 = 102,880/x
  3. Step 3: Cross multiply
    70,566x = 102,880 × 102,880
  4. Step 4: Simplify right side
    70,566x = 10,584,294,400
  5. Step 5: Solve for x
    x = 10,584,294,400/70,566
  6. Step 6: Final answer
    x = 149,991.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.