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Finding the Third Proportional to 128,520 and 284,568

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Solution

The third proportional to 128,520 and 284,568 is: 630,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,520 : 284,568 = 284,568 : x
  2. Step 2: Convert to fraction form
    128,520/284,568 = 284,568/x
  3. Step 3: Cross multiply
    128,520x = 284,568 × 284,568
  4. Step 4: Simplify right side
    128,520x = 80,978,946,624
  5. Step 5: Solve for x
    x = 80,978,946,624/128,520
  6. Step 6: Final answer
    x = 630,088.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.