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Finding the Third Proportional to 82,488 and 128,052

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Solution

The third proportional to 82,488 and 128,052 is: 198,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,488 : 128,052 = 128,052 : x
  2. Step 2: Convert to fraction form
    82,488/128,052 = 128,052/x
  3. Step 3: Cross multiply
    82,488x = 128,052 × 128,052
  4. Step 4: Simplify right side
    82,488x = 16,397,314,704
  5. Step 5: Solve for x
    x = 16,397,314,704/82,488
  6. Step 6: Final answer
    x = 198,784.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.