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Finding the Third Proportional to 66,102 and 137,674

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Solution

The third proportional to 66,102 and 137,674 is: 286,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,102 : 137,674 = 137,674 : x
  2. Step 2: Convert to fraction form
    66,102/137,674 = 137,674/x
  3. Step 3: Cross multiply
    66,102x = 137,674 × 137,674
  4. Step 4: Simplify right side
    66,102x = 18,954,130,276
  5. Step 5: Solve for x
    x = 18,954,130,276/66,102
  6. Step 6: Final answer
    x = 286,740.65

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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.