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Finding the Third Proportional to 66,117 and 137,310

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Solution

The third proportional to 66,117 and 137,310 is: 285,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,117 : 137,310 = 137,310 : x
  2. Step 2: Convert to fraction form
    66,117/137,310 = 137,310/x
  3. Step 3: Cross multiply
    66,117x = 137,310 × 137,310
  4. Step 4: Simplify right side
    66,117x = 18,854,036,100
  5. Step 5: Solve for x
    x = 18,854,036,100/66,117
  6. Step 6: Final answer
    x = 285,161.70

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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.