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Finding the Third Proportional to 128,740 and 204,854

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Solution

The third proportional to 128,740 and 204,854 is: 325,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,740 : 204,854 = 204,854 : x
  2. Step 2: Convert to fraction form
    128,740/204,854 = 204,854/x
  3. Step 3: Cross multiply
    128,740x = 204,854 × 204,854
  4. Step 4: Simplify right side
    128,740x = 41,965,161,316
  5. Step 5: Solve for x
    x = 41,965,161,316/128,740
  6. Step 6: Final answer
    x = 325,968.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.