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Finding the Third Proportional to 66,100 and 137,672

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Solution

The third proportional to 66,100 and 137,672 is: 286,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,100 : 137,672 = 137,672 : x
  2. Step 2: Convert to fraction form
    66,100/137,672 = 137,672/x
  3. Step 3: Cross multiply
    66,100x = 137,672 × 137,672
  4. Step 4: Simplify right side
    66,100x = 18,953,579,584
  5. Step 5: Solve for x
    x = 18,953,579,584/66,100
  6. Step 6: Final answer
    x = 286,740.99

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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.