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Finding the Third Proportional to 63,770 and 132,146

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Solution

The third proportional to 63,770 and 132,146 is: 273,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,770 : 132,146 = 132,146 : x
  2. Step 2: Convert to fraction form
    63,770/132,146 = 132,146/x
  3. Step 3: Cross multiply
    63,770x = 132,146 × 132,146
  4. Step 4: Simplify right side
    63,770x = 17,462,565,316
  5. Step 5: Solve for x
    x = 17,462,565,316/63,770
  6. Step 6: Final answer
    x = 273,836.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.