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Finding the Third Proportional to 128,586 and 278,313

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Solution

The third proportional to 128,586 and 278,313 is: 602,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,586 : 278,313 = 278,313 : x
  2. Step 2: Convert to fraction form
    128,586/278,313 = 278,313/x
  3. Step 3: Cross multiply
    128,586x = 278,313 × 278,313
  4. Step 4: Simplify right side
    128,586x = 77,458,125,969
  5. Step 5: Solve for x
    x = 77,458,125,969/128,586
  6. Step 6: Final answer
    x = 602,383.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.