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Finding the Third Proportional to 128,313 and 282,384

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Solution

The third proportional to 128,313 and 282,384 is: 621,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,313 : 282,384 = 282,384 : x
  2. Step 2: Convert to fraction form
    128,313/282,384 = 282,384/x
  3. Step 3: Cross multiply
    128,313x = 282,384 × 282,384
  4. Step 4: Simplify right side
    128,313x = 79,740,723,456
  5. Step 5: Solve for x
    x = 79,740,723,456/128,313
  6. Step 6: Final answer
    x = 621,454.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.