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Finding the Third Proportional to 66,830 and 137,896

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Solution

The third proportional to 66,830 and 137,896 is: 284,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,830 : 137,896 = 137,896 : x
  2. Step 2: Convert to fraction form
    66,830/137,896 = 137,896/x
  3. Step 3: Cross multiply
    66,830x = 137,896 × 137,896
  4. Step 4: Simplify right side
    66,830x = 19,015,306,816
  5. Step 5: Solve for x
    x = 19,015,306,816/66,830
  6. Step 6: Final answer
    x = 284,532.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.