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Finding the Third Proportional to 66,056 and 137,680

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Solution

The third proportional to 66,056 and 137,680 is: 286,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,056 : 137,680 = 137,680 : x
  2. Step 2: Convert to fraction form
    66,056/137,680 = 137,680/x
  3. Step 3: Cross multiply
    66,056x = 137,680 × 137,680
  4. Step 4: Simplify right side
    66,056x = 18,955,782,400
  5. Step 5: Solve for x
    x = 18,955,782,400/66,056
  6. Step 6: Final answer
    x = 286,965.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.