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Finding the Third Proportional to 66,280 and 139,400

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Solution

The third proportional to 66,280 and 139,400 is: 293,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,280 : 139,400 = 139,400 : x
  2. Step 2: Convert to fraction form
    66,280/139,400 = 139,400/x
  3. Step 3: Cross multiply
    66,280x = 139,400 × 139,400
  4. Step 4: Simplify right side
    66,280x = 19,432,360,000
  5. Step 5: Solve for x
    x = 19,432,360,000/66,280
  6. Step 6: Final answer
    x = 293,185.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.