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Finding the Third Proportional to 128,820 and 204,426

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Solution

The third proportional to 128,820 and 204,426 is: 324,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,820 : 204,426 = 204,426 : x
  2. Step 2: Convert to fraction form
    128,820/204,426 = 204,426/x
  3. Step 3: Cross multiply
    128,820x = 204,426 × 204,426
  4. Step 4: Simplify right side
    128,820x = 41,789,989,476
  5. Step 5: Solve for x
    x = 41,789,989,476/128,820
  6. Step 6: Final answer
    x = 324,406.07

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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.